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Finding the Fourth Proportional to 2,381.70, 3,572.55 and 842.70

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Solution

The fourth proportional to 2,381.70, 3,572.55 and 842.70 is: 1,264.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.70 : 3,572.55 = 842.70 : x
  2. Step 2: Convert to fraction form
    2,381.70/3,572.55 = 842.70/x
  3. Step 3: Cross multiply
    2,381.70x = 3,572.55 × 842.70
  4. Step 4: Simplify right side
    2,381.70x = 3,010,587.89
  5. Step 5: Solve for x
    x = 3,010,587.89/2,381.70
  6. Step 6: Final answer
    x = 1,264.05

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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.