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Finding the Fourth Proportional to 12,824.78, 17,695.99 and 7,159.23

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Solution

The fourth proportional to 12,824.78, 17,695.99 and 7,159.23 is: 9,878.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,824.78 : 17,695.99 = 7,159.23 : x
  2. Step 2: Convert to fraction form
    12,824.78/17,695.99 = 7,159.23/x
  3. Step 3: Cross multiply
    12,824.78x = 17,695.99 × 7,159.23
  4. Step 4: Simplify right side
    12,824.78x = 126,689,644.59
  5. Step 5: Solve for x
    x = 126,689,644.59/12,824.78
  6. Step 6: Final answer
    x = 9,878.51

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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.