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Finding the Fourth Proportional to 10,100.48, 13,938.96 and 5,624.48

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Solution

The fourth proportional to 10,100.48, 13,938.96 and 5,624.48 is: 7,761.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100.48 : 13,938.96 = 5,624.48 : x
  2. Step 2: Convert to fraction form
    10,100.48/13,938.96 = 5,624.48/x
  3. Step 3: Cross multiply
    10,100.48x = 13,938.96 × 5,624.48
  4. Step 4: Simplify right side
    10,100.48x = 78,399,401.74
  5. Step 5: Solve for x
    x = 78,399,401.74/10,100.48
  6. Step 6: Final answer
    x = 7,761.95

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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.