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Finding the Fourth Proportional to 10,104.30, 13,942.98 and 5,627.52

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Solution

The fourth proportional to 10,104.30, 13,942.98 and 5,627.52 is: 7,765.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,104.30 : 13,942.98 = 5,627.52 : x
  2. Step 2: Convert to fraction form
    10,104.30/13,942.98 = 5,627.52/x
  3. Step 3: Cross multiply
    10,104.30x = 13,942.98 × 5,627.52
  4. Step 4: Simplify right side
    10,104.30x = 78,464,398.81
  5. Step 5: Solve for x
    x = 78,464,398.81/10,104.30
  6. Step 6: Final answer
    x = 7,765.45

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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.