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Finding the Fourth Proportional to 12,368.66, 18,531.24 and 10,301.90

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Solution

The fourth proportional to 12,368.66, 18,531.24 and 10,301.90 is: 15,434.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,368.66 : 18,531.24 = 10,301.90 : x
  2. Step 2: Convert to fraction form
    12,368.66/18,531.24 = 10,301.90/x
  3. Step 3: Cross multiply
    12,368.66x = 18,531.24 × 10,301.90
  4. Step 4: Simplify right side
    12,368.66x = 190,906,981.36
  5. Step 5: Solve for x
    x = 190,906,981.36/12,368.66
  6. Step 6: Final answer
    x = 15,434.73

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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.