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Finding the Fourth Proportional to 6,404.13, 8,840.13 and 4,309.47

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Solution

The fourth proportional to 6,404.13, 8,840.13 and 4,309.47 is: 5,948.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.13 : 8,840.13 = 4,309.47 : x
  2. Step 2: Convert to fraction form
    6,404.13/8,840.13 = 4,309.47/x
  3. Step 3: Cross multiply
    6,404.13x = 8,840.13 × 4,309.47
  4. Step 4: Simplify right side
    6,404.13x = 38,096,275.03
  5. Step 5: Solve for x
    x = 38,096,275.03/6,404.13
  6. Step 6: Final answer
    x = 5,948.70

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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.