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Finding the Fourth Proportional to 5,200.59, 7,800.89 and 1,304.99

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Solution

The fourth proportional to 5,200.59, 7,800.89 and 1,304.99 is: 1,957.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.59 : 7,800.89 = 1,304.99 : x
  2. Step 2: Convert to fraction form
    5,200.59/7,800.89 = 1,304.99/x
  3. Step 3: Cross multiply
    5,200.59x = 7,800.89 × 1,304.99
  4. Step 4: Simplify right side
    5,200.59x = 10,180,076.92
  5. Step 5: Solve for x
    x = 10,180,076.92/5,200.59
  6. Step 6: Final answer
    x = 1,957.49

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.