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Finding the Fourth Proportional to 7,051.82, 9,731.52 and 3,908

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Solution

The fourth proportional to 7,051.82, 9,731.52 and 3,908 is: 5,393.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.82 : 9,731.52 = 3,908 : x
  2. Step 2: Convert to fraction form
    7,051.82/9,731.52 = 3,908/x
  3. Step 3: Cross multiply
    7,051.82x = 9,731.52 × 3,908
  4. Step 4: Simplify right side
    7,051.82x = 38,030,780.16
  5. Step 5: Solve for x
    x = 38,030,780.16/7,051.82
  6. Step 6: Final answer
    x = 5,393.04

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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.