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Finding the Fourth Proportional to 6,320.53, 9,432.74 and 5,619.92

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Solution

The fourth proportional to 6,320.53, 9,432.74 and 5,619.92 is: 8,387.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320.53 : 9,432.74 = 5,619.92 : x
  2. Step 2: Convert to fraction form
    6,320.53/9,432.74 = 5,619.92/x
  3. Step 3: Cross multiply
    6,320.53x = 9,432.74 × 5,619.92
  4. Step 4: Simplify right side
    6,320.53x = 53,011,259.04
  5. Step 5: Solve for x
    x = 53,011,259.04/6,320.53
  6. Step 6: Final answer
    x = 8,387.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.