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Finding the Fourth Proportional to 11,847.54, 17,758.68 and 8,916.78

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Solution

The fourth proportional to 11,847.54, 17,758.68 and 8,916.78 is: 13,365.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.54 : 17,758.68 = 8,916.78 : x
  2. Step 2: Convert to fraction form
    11,847.54/17,758.68 = 8,916.78/x
  3. Step 3: Cross multiply
    11,847.54x = 17,758.68 × 8,916.78
  4. Step 4: Simplify right side
    11,847.54x = 158,350,242.65
  5. Step 5: Solve for x
    x = 158,350,242.65/11,847.54
  6. Step 6: Final answer
    x = 13,365.66

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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.