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Finding the Fourth Proportional to 10,127, 15,179.14 and 7,653.80

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Solution

The fourth proportional to 10,127, 15,179.14 and 7,653.80 is: 11,472.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,127 : 15,179.14 = 7,653.80 : x
  2. Step 2: Convert to fraction form
    10,127/15,179.14 = 7,653.80/x
  3. Step 3: Cross multiply
    10,127x = 15,179.14 × 7,653.80
  4. Step 4: Simplify right side
    10,127x = 116,178,101.73
  5. Step 5: Solve for x
    x = 116,178,101.73/10,127
  6. Step 6: Final answer
    x = 11,472.11

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1.5x scale

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.