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Finding the Fourth Proportional to 8,713.80, 13,065.30 and 5,014.20

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Solution

The fourth proportional to 8,713.80, 13,065.30 and 5,014.20 is: 7,518.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.80 : 13,065.30 = 5,014.20 : x
  2. Step 2: Convert to fraction form
    8,713.80/13,065.30 = 5,014.20/x
  3. Step 3: Cross multiply
    8,713.80x = 13,065.30 × 5,014.20
  4. Step 4: Simplify right side
    8,713.80x = 65,512,027.26
  5. Step 5: Solve for x
    x = 65,512,027.26/8,713.80
  6. Step 6: Final answer
    x = 7,518.19

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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.