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Finding the Fourth Proportional to 9,319.71, 12,863.19 and 5,734.65

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Solution

The fourth proportional to 9,319.71, 12,863.19 and 5,734.65 is: 7,915.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,319.71 : 12,863.19 = 5,734.65 : x
  2. Step 2: Convert to fraction form
    9,319.71/12,863.19 = 5,734.65/x
  3. Step 3: Cross multiply
    9,319.71x = 12,863.19 × 5,734.65
  4. Step 4: Simplify right side
    9,319.71x = 73,765,892.53
  5. Step 5: Solve for x
    x = 73,765,892.53/9,319.71
  6. Step 6: Final answer
    x = 7,915.04

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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.