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Finding the Fourth Proportional to 12,981, 17,913.78 and 7,012.66

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Solution

The fourth proportional to 12,981, 17,913.78 and 7,012.66 is: 9,677.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,981 : 17,913.78 = 7,012.66 : x
  2. Step 2: Convert to fraction form
    12,981/17,913.78 = 7,012.66/x
  3. Step 3: Cross multiply
    12,981x = 17,913.78 × 7,012.66
  4. Step 4: Simplify right side
    12,981x = 125,623,248.45
  5. Step 5: Solve for x
    x = 125,623,248.45/12,981
  6. Step 6: Final answer
    x = 9,677.47

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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.