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Finding the Fourth Proportional to 1,248.12, 1,723.86 and 952.74

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Solution

The fourth proportional to 1,248.12, 1,723.86 and 952.74 is: 1,315.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.12 : 1,723.86 = 952.74 : x
  2. Step 2: Convert to fraction form
    1,248.12/1,723.86 = 952.74/x
  3. Step 3: Cross multiply
    1,248.12x = 1,723.86 × 952.74
  4. Step 4: Simplify right side
    1,248.12x = 1,642,390.38
  5. Step 5: Solve for x
    x = 1,642,390.38/1,248.12
  6. Step 6: Final answer
    x = 1,315.89

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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.