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Finding the Fourth Proportional to 9,532.92, 14,302.98 and 3,990

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Solution

The fourth proportional to 9,532.92, 14,302.98 and 3,990 is: 5,986.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.92 : 14,302.98 = 3,990 : x
  2. Step 2: Convert to fraction form
    9,532.92/14,302.98 = 3,990/x
  3. Step 3: Cross multiply
    9,532.92x = 14,302.98 × 3,990
  4. Step 4: Simplify right side
    9,532.92x = 57,068,890.20
  5. Step 5: Solve for x
    x = 57,068,890.20/9,532.92
  6. Step 6: Final answer
    x = 5,986.51

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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.