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Finding the Fourth Proportional to 8,713.81, 13,069.34 and 7,242.48

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Solution

The fourth proportional to 8,713.81, 13,069.34 and 7,242.48 is: 10,862.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.81 : 13,069.34 = 7,242.48 : x
  2. Step 2: Convert to fraction form
    8,713.81/13,069.34 = 7,242.48/x
  3. Step 3: Cross multiply
    8,713.81x = 13,069.34 × 7,242.48
  4. Step 4: Simplify right side
    8,713.81x = 94,654,397.35
  5. Step 5: Solve for x
    x = 94,654,397.35/8,713.81
  6. Step 6: Final answer
    x = 10,862.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.