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Finding the Fourth Proportional to 31,792, 47,676.48 and 14,252.80

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Solution

The fourth proportional to 31,792, 47,676.48 and 14,252.80 is: 21,374.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,792 : 47,676.48 = 14,252.80 : x
  2. Step 2: Convert to fraction form
    31,792/47,676.48 = 14,252.80/x
  3. Step 3: Cross multiply
    31,792x = 47,676.48 × 14,252.80
  4. Step 4: Simplify right side
    31,792x = 679,523,334.14
  5. Step 5: Solve for x
    x = 679,523,334.14/31,792
  6. Step 6: Final answer
    x = 21,374.04

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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.