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Finding the Fourth Proportional to 31,482.80, 43,423.80 and 20,294

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Solution

The fourth proportional to 31,482.80, 43,423.80 and 20,294 is: 27,991.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,482.80 : 43,423.80 = 20,294 : x
  2. Step 2: Convert to fraction form
    31,482.80/43,423.80 = 20,294/x
  3. Step 3: Cross multiply
    31,482.80x = 43,423.80 × 20,294
  4. Step 4: Simplify right side
    31,482.80x = 881,242,597.20
  5. Step 5: Solve for x
    x = 881,242,597.20/31,482.80
  6. Step 6: Final answer
    x = 27,991.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.