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Finding the Fourth Proportional to 9,008.40, 12,432.64 and 5,470.64

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Solution

The fourth proportional to 9,008.40, 12,432.64 and 5,470.64 is: 7,550.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,008.40 : 12,432.64 = 5,470.64 : x
  2. Step 2: Convert to fraction form
    9,008.40/12,432.64 = 5,470.64/x
  3. Step 3: Cross multiply
    9,008.40x = 12,432.64 × 5,470.64
  4. Step 4: Simplify right side
    9,008.40x = 68,014,497.69
  5. Step 5: Solve for x
    x = 68,014,497.69/9,008.40
  6. Step 6: Final answer
    x = 7,550.12

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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.