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Finding the Fourth Proportional to 16,753.11, 23,122.71 and 9,678.57

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Solution

The fourth proportional to 16,753.11, 23,122.71 and 9,678.57 is: 13,358.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,753.11 : 23,122.71 = 9,678.57 : x
  2. Step 2: Convert to fraction form
    16,753.11/23,122.71 = 9,678.57/x
  3. Step 3: Cross multiply
    16,753.11x = 23,122.71 × 9,678.57
  4. Step 4: Simplify right side
    16,753.11x = 223,794,767.32
  5. Step 5: Solve for x
    x = 223,794,767.32/16,753.11
  6. Step 6: Final answer
    x = 13,358.40

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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.