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Finding the Fourth Proportional to 12,423.68, 17,145 and 6,758.78

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Solution

The fourth proportional to 12,423.68, 17,145 and 6,758.78 is: 9,327.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,423.68 : 17,145 = 6,758.78 : x
  2. Step 2: Convert to fraction form
    12,423.68/17,145 = 6,758.78/x
  3. Step 3: Cross multiply
    12,423.68x = 17,145 × 6,758.78
  4. Step 4: Simplify right side
    12,423.68x = 115,879,283.10
  5. Step 5: Solve for x
    x = 115,879,283.10/12,423.68
  6. Step 6: Final answer
    x = 9,327.29

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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.