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Finding the Fourth Proportional to 18,712.10, 27,931.15 and 16,497.82

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Solution

The fourth proportional to 18,712.10, 27,931.15 and 16,497.82 is: 24,625.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,712.10 : 27,931.15 = 16,497.82 : x
  2. Step 2: Convert to fraction form
    18,712.10/27,931.15 = 16,497.82/x
  3. Step 3: Cross multiply
    18,712.10x = 27,931.15 × 16,497.82
  4. Step 4: Simplify right side
    18,712.10x = 460,803,002.60
  5. Step 5: Solve for x
    x = 460,803,002.60/18,712.10
  6. Step 6: Final answer
    x = 24,625.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.