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Finding the Fourth Proportional to 13,901.66, 19,180.47 and 7,931.18

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Solution

The fourth proportional to 13,901.66, 19,180.47 and 7,931.18 is: 10,942.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,901.66 : 19,180.47 = 7,931.18 : x
  2. Step 2: Convert to fraction form
    13,901.66/19,180.47 = 7,931.18/x
  3. Step 3: Cross multiply
    13,901.66x = 19,180.47 × 7,931.18
  4. Step 4: Simplify right side
    13,901.66x = 152,123,760.05
  5. Step 5: Solve for x
    x = 152,123,760.05/13,901.66
  6. Step 6: Final answer
    x = 10,942.85

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1.5x scale

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.