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Finding the Fourth Proportional to 23,046.80, 31,800.12 and 13,616.96

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Solution

The fourth proportional to 23,046.80, 31,800.12 and 13,616.96 is: 18,788.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,046.80 : 31,800.12 = 13,616.96 : x
  2. Step 2: Convert to fraction form
    23,046.80/31,800.12 = 13,616.96/x
  3. Step 3: Cross multiply
    23,046.80x = 31,800.12 × 13,616.96
  4. Step 4: Simplify right side
    23,046.80x = 433,020,962.04
  5. Step 5: Solve for x
    x = 433,020,962.04/23,046.80
  6. Step 6: Final answer
    x = 18,788.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.