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Finding the Fourth Proportional to 10,269.60, 15,411.60 and 4,430.40

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Solution

The fourth proportional to 10,269.60, 15,411.60 and 4,430.40 is: 6,648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269.60 : 15,411.60 = 4,430.40 : x
  2. Step 2: Convert to fraction form
    10,269.60/15,411.60 = 4,430.40/x
  3. Step 3: Cross multiply
    10,269.60x = 15,411.60 × 4,430.40
  4. Step 4: Simplify right side
    10,269.60x = 68,279,552.64
  5. Step 5: Solve for x
    x = 68,279,552.64/10,269.60
  6. Step 6: Final answer
    x = 6,648.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.