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Finding the Fourth Proportional to 9,642.84, 14,470.20 and 4,381.64

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Solution

The fourth proportional to 9,642.84, 14,470.20 and 4,381.64 is: 6,575.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.84 : 14,470.20 = 4,381.64 : x
  2. Step 2: Convert to fraction form
    9,642.84/14,470.20 = 4,381.64/x
  3. Step 3: Cross multiply
    9,642.84x = 14,470.20 × 4,381.64
  4. Step 4: Simplify right side
    9,642.84x = 63,403,207.13
  5. Step 5: Solve for x
    x = 63,403,207.13/9,642.84
  6. Step 6: Final answer
    x = 6,575.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.