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Finding the Fourth Proportional to 32,000.32, 47,964.71 and 11,990.57

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Solution

The fourth proportional to 32,000.32, 47,964.71 and 11,990.57 is: 17,972.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000.32 : 47,964.71 = 11,990.57 : x
  2. Step 2: Convert to fraction form
    32,000.32/47,964.71 = 11,990.57/x
  3. Step 3: Cross multiply
    32,000.32x = 47,964.71 × 11,990.57
  4. Step 4: Simplify right side
    32,000.32x = 575,124,002.94
  5. Step 5: Solve for x
    x = 575,124,002.94/32,000.32
  6. Step 6: Final answer
    x = 17,972.44

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1.5x scale

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.