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Finding the Fourth Proportional to 9,265.70, 12,796.17 and 7,148.90

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Solution

The fourth proportional to 9,265.70, 12,796.17 and 7,148.90 is: 9,872.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.70 : 12,796.17 = 7,148.90 : x
  2. Step 2: Convert to fraction form
    9,265.70/12,796.17 = 7,148.90/x
  3. Step 3: Cross multiply
    9,265.70x = 12,796.17 × 7,148.90
  4. Step 4: Simplify right side
    9,265.70x = 91,478,539.71
  5. Step 5: Solve for x
    x = 91,478,539.71/9,265.70
  6. Step 6: Final answer
    x = 9,872.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.