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Finding the Fourth Proportional to 12,963.97, 17,884.95 and 9,615.02

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Solution

The fourth proportional to 12,963.97, 17,884.95 and 9,615.02 is: 13,264.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963.97 : 17,884.95 = 9,615.02 : x
  2. Step 2: Convert to fraction form
    12,963.97/17,884.95 = 9,615.02/x
  3. Step 3: Cross multiply
    12,963.97x = 17,884.95 × 9,615.02
  4. Step 4: Simplify right side
    12,963.97x = 171,964,151.95
  5. Step 5: Solve for x
    x = 171,964,151.95/12,963.97
  6. Step 6: Final answer
    x = 13,264.78

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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.