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Finding the Fourth Proportional to 10,920.14, 15,069.71 and 6,204.42

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Solution

The fourth proportional to 10,920.14, 15,069.71 and 6,204.42 is: 8,562.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.14 : 15,069.71 = 6,204.42 : x
  2. Step 2: Convert to fraction form
    10,920.14/15,069.71 = 6,204.42/x
  3. Step 3: Cross multiply
    10,920.14x = 15,069.71 × 6,204.42
  4. Step 4: Simplify right side
    10,920.14x = 93,498,810.12
  5. Step 5: Solve for x
    x = 93,498,810.12/10,920.14
  6. Step 6: Final answer
    x = 8,562.05

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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.