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Finding the Fourth Proportional to 21,987.84, 32,987.82 and 9,502.50

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Solution

The fourth proportional to 21,987.84, 32,987.82 and 9,502.50 is: 14,256.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,987.84 : 32,987.82 = 9,502.50 : x
  2. Step 2: Convert to fraction form
    21,987.84/32,987.82 = 9,502.50/x
  3. Step 3: Cross multiply
    21,987.84x = 32,987.82 × 9,502.50
  4. Step 4: Simplify right side
    21,987.84x = 313,466,759.55
  5. Step 5: Solve for x
    x = 313,466,759.55/21,987.84
  6. Step 6: Final answer
    x = 14,256.37

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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.