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Finding the Fourth Proportional to 2,601.76, 3,902.24 and 870.40

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Solution

The fourth proportional to 2,601.76, 3,902.24 and 870.40 is: 1,305.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.76 : 3,902.24 = 870.40 : x
  2. Step 2: Convert to fraction form
    2,601.76/3,902.24 = 870.40/x
  3. Step 3: Cross multiply
    2,601.76x = 3,902.24 × 870.40
  4. Step 4: Simplify right side
    2,601.76x = 3,396,509.70
  5. Step 5: Solve for x
    x = 3,396,509.70/2,601.76
  6. Step 6: Final answer
    x = 1,305.47

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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.