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Finding the Fourth Proportional to 8,053.56, 11,108.16 and 6,989.76

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Solution

The fourth proportional to 8,053.56, 11,108.16 and 6,989.76 is: 9,640.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053.56 : 11,108.16 = 6,989.76 : x
  2. Step 2: Convert to fraction form
    8,053.56/11,108.16 = 6,989.76/x
  3. Step 3: Cross multiply
    8,053.56x = 11,108.16 × 6,989.76
  4. Step 4: Simplify right side
    8,053.56x = 77,643,372.44
  5. Step 5: Solve for x
    x = 77,643,372.44/8,053.56
  6. Step 6: Final answer
    x = 9,640.88

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1.5x scale

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.