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Finding the Fourth Proportional to 10,442.90, 15,636.11 and 7,648.40

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Solution

The fourth proportional to 10,442.90, 15,636.11 and 7,648.40 is: 11,451.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.90 : 15,636.11 = 7,648.40 : x
  2. Step 2: Convert to fraction form
    10,442.90/15,636.11 = 7,648.40/x
  3. Step 3: Cross multiply
    10,442.90x = 15,636.11 × 7,648.40
  4. Step 4: Simplify right side
    10,442.90x = 119,591,224.57
  5. Step 5: Solve for x
    x = 119,591,224.57/10,442.90
  6. Step 6: Final answer
    x = 11,451.91

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1.5x scale

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.