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Finding the Fourth Proportional to 10,107.61, 13,948.13 and 5,631.26

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Solution

The fourth proportional to 10,107.61, 13,948.13 and 5,631.26 is: 7,770.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107.61 : 13,948.13 = 5,631.26 : x
  2. Step 2: Convert to fraction form
    10,107.61/13,948.13 = 5,631.26/x
  3. Step 3: Cross multiply
    10,107.61x = 13,948.13 × 5,631.26
  4. Step 4: Simplify right side
    10,107.61x = 78,545,490.88
  5. Step 5: Solve for x
    x = 78,545,490.88/10,107.61
  6. Step 6: Final answer
    x = 7,770.93

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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.