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Finding the Fourth Proportional to 8,731.60, 13,077.78 and 6,777.88

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Solution

The fourth proportional to 8,731.60, 13,077.78 and 6,777.88 is: 10,151.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,731.60 : 13,077.78 = 6,777.88 : x
  2. Step 2: Convert to fraction form
    8,731.60/13,077.78 = 6,777.88/x
  3. Step 3: Cross multiply
    8,731.60x = 13,077.78 × 6,777.88
  4. Step 4: Simplify right side
    8,731.60x = 88,639,623.51
  5. Step 5: Solve for x
    x = 88,639,623.51/8,731.60
  6. Step 6: Final answer
    x = 10,151.59

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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.