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Finding the Fourth Proportional to 15,667.65, 23,489.14 and 7,764.73

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Solution

The fourth proportional to 15,667.65, 23,489.14 and 7,764.73 is: 11,640.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,667.65 : 23,489.14 = 7,764.73 : x
  2. Step 2: Convert to fraction form
    15,667.65/23,489.14 = 7,764.73/x
  3. Step 3: Cross multiply
    15,667.65x = 23,489.14 × 7,764.73
  4. Step 4: Simplify right side
    15,667.65x = 182,386,888.76
  5. Step 5: Solve for x
    x = 182,386,888.76/15,667.65
  6. Step 6: Final answer
    x = 11,640.99

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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.