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Finding the Fourth Proportional to 1,512.30, 2,086.45 and 882.31

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Solution

The fourth proportional to 1,512.30, 2,086.45 and 882.31 is: 1,217.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.30 : 2,086.45 = 882.31 : x
  2. Step 2: Convert to fraction form
    1,512.30/2,086.45 = 882.31/x
  3. Step 3: Cross multiply
    1,512.30x = 2,086.45 × 882.31
  4. Step 4: Simplify right side
    1,512.30x = 1,840,895.70
  5. Step 5: Solve for x
    x = 1,840,895.70/1,512.30
  6. Step 6: Final answer
    x = 1,217.28

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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.