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Finding the Fourth Proportional to 12,882.60, 17,781.93 and 7,506.63

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Solution

The fourth proportional to 12,882.60, 17,781.93 and 7,506.63 is: 10,361.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882.60 : 17,781.93 = 7,506.63 : x
  2. Step 2: Convert to fraction form
    12,882.60/17,781.93 = 7,506.63/x
  3. Step 3: Cross multiply
    12,882.60x = 17,781.93 × 7,506.63
  4. Step 4: Simplify right side
    12,882.60x = 133,482,369.20
  5. Step 5: Solve for x
    x = 133,482,369.20/12,882.60
  6. Step 6: Final answer
    x = 10,361.45

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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.