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Finding the Fourth Proportional to 12,536.64, 17,321.76 and 10,517.76

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Solution

The fourth proportional to 12,536.64, 17,321.76 and 10,517.76 is: 14,532.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536.64 : 17,321.76 = 10,517.76 : x
  2. Step 2: Convert to fraction form
    12,536.64/17,321.76 = 10,517.76/x
  3. Step 3: Cross multiply
    12,536.64x = 17,321.76 × 10,517.76
  4. Step 4: Simplify right side
    12,536.64x = 182,186,114.46
  5. Step 5: Solve for x
    x = 182,186,114.46/12,536.64
  6. Step 6: Final answer
    x = 14,532.29

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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.