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Finding the Fourth Proportional to 10,624, 14,663.68 and 7,685.12

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Solution

The fourth proportional to 10,624, 14,663.68 and 7,685.12 is: 10,607.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624 : 14,663.68 = 7,685.12 : x
  2. Step 2: Convert to fraction form
    10,624/14,663.68 = 7,685.12/x
  3. Step 3: Cross multiply
    10,624x = 14,663.68 × 7,685.12
  4. Step 4: Simplify right side
    10,624x = 112,692,140.44
  5. Step 5: Solve for x
    x = 112,692,140.44/10,624
  6. Step 6: Final answer
    x = 10,607.32

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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.