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Finding the Fourth Proportional to 12,686.42, 17,503.29 and 7,380.21

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Solution

The fourth proportional to 12,686.42, 17,503.29 and 7,380.21 is: 10,182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.42 : 17,503.29 = 7,380.21 : x
  2. Step 2: Convert to fraction form
    12,686.42/17,503.29 = 7,380.21/x
  3. Step 3: Cross multiply
    12,686.42x = 17,503.29 × 7,380.21
  4. Step 4: Simplify right side
    12,686.42x = 129,178,021.53
  5. Step 5: Solve for x
    x = 129,178,021.53/12,686.42
  6. Step 6: Final answer
    x = 10,182.38

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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.