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Finding the Fourth Proportional to 7,725.68, 10,654.14 and 5,208.20

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Solution

The fourth proportional to 7,725.68, 10,654.14 and 5,208.20 is: 7,182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.68 : 10,654.14 = 5,208.20 : x
  2. Step 2: Convert to fraction form
    7,725.68/10,654.14 = 5,208.20/x
  3. Step 3: Cross multiply
    7,725.68x = 10,654.14 × 5,208.20
  4. Step 4: Simplify right side
    7,725.68x = 55,488,891.95
  5. Step 5: Solve for x
    x = 55,488,891.95/7,725.68
  6. Step 6: Final answer
    x = 7,182.40

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.