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Finding the Fourth Proportional to 21,484.88, 32,199.62 and 9,630

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Solution

The fourth proportional to 21,484.88, 32,199.62 and 9,630 is: 14,432.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,484.88 : 32,199.62 = 9,630 : x
  2. Step 2: Convert to fraction form
    21,484.88/32,199.62 = 9,630/x
  3. Step 3: Cross multiply
    21,484.88x = 32,199.62 × 9,630
  4. Step 4: Simplify right side
    21,484.88x = 310,082,340.60
  5. Step 5: Solve for x
    x = 310,082,340.60/21,484.88
  6. Step 6: Final answer
    x = 14,432.58

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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.