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Finding the Fourth Proportional to 7,087.56, 9,781.74 and 4,103.52

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Solution

The fourth proportional to 7,087.56, 9,781.74 and 4,103.52 is: 5,663.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,087.56 : 9,781.74 = 4,103.52 : x
  2. Step 2: Convert to fraction form
    7,087.56/9,781.74 = 4,103.52/x
  3. Step 3: Cross multiply
    7,087.56x = 9,781.74 × 4,103.52
  4. Step 4: Simplify right side
    7,087.56x = 40,139,565.72
  5. Step 5: Solve for x
    x = 40,139,565.72/7,087.56
  6. Step 6: Final answer
    x = 5,663.38

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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.