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Finding the Fourth Proportional to 12,762.80, 17,613.10 and 7,099.14

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Solution

The fourth proportional to 12,762.80, 17,613.10 and 7,099.14 is: 9,797.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.80 : 17,613.10 = 7,099.14 : x
  2. Step 2: Convert to fraction form
    12,762.80/17,613.10 = 7,099.14/x
  3. Step 3: Cross multiply
    12,762.80x = 17,613.10 × 7,099.14
  4. Step 4: Simplify right side
    12,762.80x = 125,037,862.73
  5. Step 5: Solve for x
    x = 125,037,862.73/12,762.80
  6. Step 6: Final answer
    x = 9,797.06

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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.