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Finding the Fourth Proportional to 23,687.70, 32,687.85 and 13,609

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Solution

The fourth proportional to 23,687.70, 32,687.85 and 13,609 is: 18,779.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,687.70 : 32,687.85 = 13,609 : x
  2. Step 2: Convert to fraction form
    23,687.70/32,687.85 = 13,609/x
  3. Step 3: Cross multiply
    23,687.70x = 32,687.85 × 13,609
  4. Step 4: Simplify right side
    23,687.70x = 444,848,950.65
  5. Step 5: Solve for x
    x = 444,848,950.65/23,687.70
  6. Step 6: Final answer
    x = 18,779.74

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1.5x scale

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.