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Finding the Fourth Proportional to 1,862.89, 2,794.70 and 631.17

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Solution

The fourth proportional to 1,862.89, 2,794.70 and 631.17 is: 946.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.89 : 2,794.70 = 631.17 : x
  2. Step 2: Convert to fraction form
    1,862.89/2,794.70 = 631.17/x
  3. Step 3: Cross multiply
    1,862.89x = 2,794.70 × 631.17
  4. Step 4: Simplify right side
    1,862.89x = 1,763,932.38
  5. Step 5: Solve for x
    x = 1,763,932.38/1,862.89
  6. Step 6: Final answer
    x = 946.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.