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Finding the Fourth Proportional to 10,134.71, 15,178.97 and 7,000.46

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Solution

The fourth proportional to 10,134.71, 15,178.97 and 7,000.46 is: 10,484.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,134.71 : 15,178.97 = 7,000.46 : x
  2. Step 2: Convert to fraction form
    10,134.71/15,178.97 = 7,000.46/x
  3. Step 3: Cross multiply
    10,134.71x = 15,178.97 × 7,000.46
  4. Step 4: Simplify right side
    10,134.71x = 106,259,772.33
  5. Step 5: Solve for x
    x = 106,259,772.33/10,134.71
  6. Step 6: Final answer
    x = 10,484.74

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