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Finding the Fourth Proportional to 10,470.90, 14,452.53 and 6,489.65

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Solution

The fourth proportional to 10,470.90, 14,452.53 and 6,489.65 is: 8,957.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.90 : 14,452.53 = 6,489.65 : x
  2. Step 2: Convert to fraction form
    10,470.90/14,452.53 = 6,489.65/x
  3. Step 3: Cross multiply
    10,470.90x = 14,452.53 × 6,489.65
  4. Step 4: Simplify right side
    10,470.90x = 93,791,873.11
  5. Step 5: Solve for x
    x = 93,791,873.11/10,470.90
  6. Step 6: Final answer
    x = 8,957.38

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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.