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Finding the Fourth Proportional to 1,246.95, 1,711.58 and 1,193.49

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Solution

The fourth proportional to 1,246.95, 1,711.58 and 1,193.49 is: 1,638.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.95 : 1,711.58 = 1,193.49 : x
  2. Step 2: Convert to fraction form
    1,246.95/1,711.58 = 1,193.49/x
  3. Step 3: Cross multiply
    1,246.95x = 1,711.58 × 1,193.49
  4. Step 4: Simplify right side
    1,246.95x = 2,042,753.61
  5. Step 5: Solve for x
    x = 2,042,753.61/1,246.95
  6. Step 6: Final answer
    x = 1,638.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.