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Finding the Fourth Proportional to 21,988.84, 32,989.32 and 9,503.50

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Solution

The fourth proportional to 21,988.84, 32,989.32 and 9,503.50 is: 14,257.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,988.84 : 32,989.32 = 9,503.50 : x
  2. Step 2: Convert to fraction form
    21,988.84/32,989.32 = 9,503.50/x
  3. Step 3: Cross multiply
    21,988.84x = 32,989.32 × 9,503.50
  4. Step 4: Simplify right side
    21,988.84x = 313,514,002.62
  5. Step 5: Solve for x
    x = 313,514,002.62/21,988.84
  6. Step 6: Final answer
    x = 14,257.87

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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.