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Finding the Fourth Proportional to 16,854.88, 23,250 and 10,135.84

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Solution

The fourth proportional to 16,854.88, 23,250 and 10,135.84 is: 13,981.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,854.88 : 23,250 = 10,135.84 : x
  2. Step 2: Convert to fraction form
    16,854.88/23,250 = 10,135.84/x
  3. Step 3: Cross multiply
    16,854.88x = 23,250 × 10,135.84
  4. Step 4: Simplify right side
    16,854.88x = 235,658,280
  5. Step 5: Solve for x
    x = 235,658,280/16,854.88
  6. Step 6: Final answer
    x = 13,981.61

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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.