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Finding the Fourth Proportional to 6,899.76, 9,521.42 and 3,755.88

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Solution

The fourth proportional to 6,899.76, 9,521.42 and 3,755.88 is: 5,182.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.76 : 9,521.42 = 3,755.88 : x
  2. Step 2: Convert to fraction form
    6,899.76/9,521.42 = 3,755.88/x
  3. Step 3: Cross multiply
    6,899.76x = 9,521.42 × 3,755.88
  4. Step 4: Simplify right side
    6,899.76x = 35,761,292.17
  5. Step 5: Solve for x
    x = 35,761,292.17/6,899.76
  6. Step 6: Final answer
    x = 5,182.98

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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.