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Finding the Fourth Proportional to 7,534.56, 11,302.50 and 1,987.82

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Solution

The fourth proportional to 7,534.56, 11,302.50 and 1,987.82 is: 2,981.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.56 : 11,302.50 = 1,987.82 : x
  2. Step 2: Convert to fraction form
    7,534.56/11,302.50 = 1,987.82/x
  3. Step 3: Cross multiply
    7,534.56x = 11,302.50 × 1,987.82
  4. Step 4: Simplify right side
    7,534.56x = 22,467,335.55
  5. Step 5: Solve for x
    x = 22,467,335.55/7,534.56
  6. Step 6: Final answer
    x = 2,981.90

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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.