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Finding the Fourth Proportional to 6,293, 8,684.70 and 3,498.68

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Solution

The fourth proportional to 6,293, 8,684.70 and 3,498.68 is: 4,828.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293 : 8,684.70 = 3,498.68 : x
  2. Step 2: Convert to fraction form
    6,293/8,684.70 = 3,498.68/x
  3. Step 3: Cross multiply
    6,293x = 8,684.70 × 3,498.68
  4. Step 4: Simplify right side
    6,293x = 30,384,986.20
  5. Step 5: Solve for x
    x = 30,384,986.20/6,293
  6. Step 6: Final answer
    x = 4,828.38

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Half scale
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Double scale
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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.