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Finding the Fourth Proportional to 12,873.75, 17,766.32 and 7,284.75

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Solution

The fourth proportional to 12,873.75, 17,766.32 and 7,284.75 is: 10,053.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,873.75 : 17,766.32 = 7,284.75 : x
  2. Step 2: Convert to fraction form
    12,873.75/17,766.32 = 7,284.75/x
  3. Step 3: Cross multiply
    12,873.75x = 17,766.32 × 7,284.75
  4. Step 4: Simplify right side
    12,873.75x = 129,423,163.20
  5. Step 5: Solve for x
    x = 129,423,163.20/12,873.75
  6. Step 6: Final answer
    x = 10,053.26

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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.