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Finding the Fourth Proportional to 8,763.40, 13,134.22 and 7,713.64

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Solution

The fourth proportional to 8,763.40, 13,134.22 and 7,713.64 is: 11,560.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,763.40 : 13,134.22 = 7,713.64 : x
  2. Step 2: Convert to fraction form
    8,763.40/13,134.22 = 7,713.64/x
  3. Step 3: Cross multiply
    8,763.40x = 13,134.22 × 7,713.64
  4. Step 4: Simplify right side
    8,763.40x = 101,312,644.76
  5. Step 5: Solve for x
    x = 101,312,644.76/8,763.40
  6. Step 6: Final answer
    x = 11,560.88

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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.