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Finding the Fourth Proportional to 10,129.96, 15,154.98 and 7,671.88

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Solution

The fourth proportional to 10,129.96, 15,154.98 and 7,671.88 is: 11,477.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.96 : 15,154.98 = 7,671.88 : x
  2. Step 2: Convert to fraction form
    10,129.96/15,154.98 = 7,671.88/x
  3. Step 3: Cross multiply
    10,129.96x = 15,154.98 × 7,671.88
  4. Step 4: Simplify right side
    10,129.96x = 116,267,187.96
  5. Step 5: Solve for x
    x = 116,267,187.96/10,129.96
  6. Step 6: Final answer
    x = 11,477.56

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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.