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Finding the Fourth Proportional to 12,700.06, 17,524 and 7,981

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Solution

The fourth proportional to 12,700.06, 17,524 and 7,981 is: 11,012.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,700.06 : 17,524 = 7,981 : x
  2. Step 2: Convert to fraction form
    12,700.06/17,524 = 7,981/x
  3. Step 3: Cross multiply
    12,700.06x = 17,524 × 7,981
  4. Step 4: Simplify right side
    12,700.06x = 139,859,044
  5. Step 5: Solve for x
    x = 139,859,044/12,700.06
  6. Step 6: Final answer
    x = 11,012.47

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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.