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Finding the Fourth Proportional to 12,613.87, 17,406.78 and 7,237.21

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Solution

The fourth proportional to 12,613.87, 17,406.78 and 7,237.21 is: 9,987.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,613.87 : 17,406.78 = 7,237.21 : x
  2. Step 2: Convert to fraction form
    12,613.87/17,406.78 = 7,237.21/x
  3. Step 3: Cross multiply
    12,613.87x = 17,406.78 × 7,237.21
  4. Step 4: Simplify right side
    12,613.87x = 125,976,522.28
  5. Step 5: Solve for x
    x = 125,976,522.28/12,613.87
  6. Step 6: Final answer
    x = 9,987.14

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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.