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Finding the Fourth Proportional to 1,825.61, 2,519.34 and 997.61

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Solution

The fourth proportional to 1,825.61, 2,519.34 and 997.61 is: 1,376.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.61 : 2,519.34 = 997.61 : x
  2. Step 2: Convert to fraction form
    1,825.61/2,519.34 = 997.61/x
  3. Step 3: Cross multiply
    1,825.61x = 2,519.34 × 997.61
  4. Step 4: Simplify right side
    1,825.61x = 2,513,318.78
  5. Step 5: Solve for x
    x = 2,513,318.78/1,825.61
  6. Step 6: Final answer
    x = 1,376.70

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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.