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Finding the Fourth Proportional to 12,952.67, 17,874.29 and 7,287.74

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Solution

The fourth proportional to 12,952.67, 17,874.29 and 7,287.74 is: 10,056.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,952.67 : 17,874.29 = 7,287.74 : x
  2. Step 2: Convert to fraction form
    12,952.67/17,874.29 = 7,287.74/x
  3. Step 3: Cross multiply
    12,952.67x = 17,874.29 × 7,287.74
  4. Step 4: Simplify right side
    12,952.67x = 130,263,052.39
  5. Step 5: Solve for x
    x = 130,263,052.39/12,952.67
  6. Step 6: Final answer
    x = 10,056.85

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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.