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Finding the Fourth Proportional to 31,768, 47,652 and 21,762.88

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Solution

The fourth proportional to 31,768, 47,652 and 21,762.88 is: 32,644.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,768 : 47,652 = 21,762.88 : x
  2. Step 2: Convert to fraction form
    31,768/47,652 = 21,762.88/x
  3. Step 3: Cross multiply
    31,768x = 47,652 × 21,762.88
  4. Step 4: Simplify right side
    31,768x = 1,037,044,757.76
  5. Step 5: Solve for x
    x = 1,037,044,757.76/31,768
  6. Step 6: Final answer
    x = 32,644.32

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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.