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Finding the Fourth Proportional to 13,016.52, 17,960.40 and 7,713

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Solution

The fourth proportional to 13,016.52, 17,960.40 and 7,713 is: 10,642.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,016.52 : 17,960.40 = 7,713 : x
  2. Step 2: Convert to fraction form
    13,016.52/17,960.40 = 7,713/x
  3. Step 3: Cross multiply
    13,016.52x = 17,960.40 × 7,713
  4. Step 4: Simplify right side
    13,016.52x = 138,528,565.20
  5. Step 5: Solve for x
    x = 138,528,565.20/13,016.52
  6. Step 6: Final answer
    x = 10,642.52

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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.