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Finding the Fourth Proportional to 10,178.71, 15,264.39 and 7,991.71

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Solution

The fourth proportional to 10,178.71, 15,264.39 and 7,991.71 is: 11,984.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,178.71 : 15,264.39 = 7,991.71 : x
  2. Step 2: Convert to fraction form
    10,178.71/15,264.39 = 7,991.71/x
  3. Step 3: Cross multiply
    10,178.71x = 15,264.39 × 7,991.71
  4. Step 4: Simplify right side
    10,178.71x = 121,988,578.21
  5. Step 5: Solve for x
    x = 121,988,578.21/10,178.71
  6. Step 6: Final answer
    x = 11,984.68

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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.