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Finding the Fourth Proportional to 11,332, 15,638.16 and 6,619.42

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Solution

The fourth proportional to 11,332, 15,638.16 and 6,619.42 is: 9,134.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,332 : 15,638.16 = 6,619.42 : x
  2. Step 2: Convert to fraction form
    11,332/15,638.16 = 6,619.42/x
  3. Step 3: Cross multiply
    11,332x = 15,638.16 × 6,619.42
  4. Step 4: Simplify right side
    11,332x = 103,515,549.07
  5. Step 5: Solve for x
    x = 103,515,549.07/11,332
  6. Step 6: Final answer
    x = 9,134.80

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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.