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Finding the Fourth Proportional to 31,005.52, 42,787.52 and 16,858.40

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Solution

The fourth proportional to 31,005.52, 42,787.52 and 16,858.40 is: 23,264.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,005.52 : 42,787.52 = 16,858.40 : x
  2. Step 2: Convert to fraction form
    31,005.52/42,787.52 = 16,858.40/x
  3. Step 3: Cross multiply
    31,005.52x = 42,787.52 × 16,858.40
  4. Step 4: Simplify right side
    31,005.52x = 721,329,127.17
  5. Step 5: Solve for x
    x = 721,329,127.17/31,005.52
  6. Step 6: Final answer
    x = 23,264.54

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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.