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Finding the Fourth Proportional to 9,135.62, 12,594.93 and 7,138.34

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Solution

The fourth proportional to 9,135.62, 12,594.93 and 7,138.34 is: 9,841.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.62 : 12,594.93 = 7,138.34 : x
  2. Step 2: Convert to fraction form
    9,135.62/12,594.93 = 7,138.34/x
  3. Step 3: Cross multiply
    9,135.62x = 12,594.93 × 7,138.34
  4. Step 4: Simplify right side
    9,135.62x = 89,906,892.62
  5. Step 5: Solve for x
    x = 89,906,892.62/9,135.62
  6. Step 6: Final answer
    x = 9,841.36

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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.