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Finding the Fourth Proportional to 31,885.65, 47,806.82 and 17,855.32

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Solution

The fourth proportional to 31,885.65, 47,806.82 and 17,855.32 is: 26,770.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,885.65 : 47,806.82 = 17,855.32 : x
  2. Step 2: Convert to fraction form
    31,885.65/47,806.82 = 17,855.32/x
  3. Step 3: Cross multiply
    31,885.65x = 47,806.82 × 17,855.32
  4. Step 4: Simplify right side
    31,885.65x = 853,606,069.28
  5. Step 5: Solve for x
    x = 853,606,069.28/31,885.65
  6. Step 6: Final answer
    x = 26,770.85

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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.