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Finding the Fourth Proportional to 12,693.20, 17,517 and 7,104.08

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Solution

The fourth proportional to 12,693.20, 17,517 and 7,104.08 is: 9,803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,693.20 : 17,517 = 7,104.08 : x
  2. Step 2: Convert to fraction form
    12,693.20/17,517 = 7,104.08/x
  3. Step 3: Cross multiply
    12,693.20x = 17,517 × 7,104.08
  4. Step 4: Simplify right side
    12,693.20x = 124,442,169.36
  5. Step 5: Solve for x
    x = 124,442,169.36/12,693.20
  6. Step 6: Final answer
    x = 9,803.85

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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.