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Finding the Fourth Proportional to 1,512.41, 2,264.96 and 861.17

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Solution

The fourth proportional to 1,512.41, 2,264.96 and 861.17 is: 1,289.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.41 : 2,264.96 = 861.17 : x
  2. Step 2: Convert to fraction form
    1,512.41/2,264.96 = 861.17/x
  3. Step 3: Cross multiply
    1,512.41x = 2,264.96 × 861.17
  4. Step 4: Simplify right side
    1,512.41x = 1,950,506.43
  5. Step 5: Solve for x
    x = 1,950,506.43/1,512.41
  6. Step 6: Final answer
    x = 1,289.67

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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.