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Finding the Fourth Proportional to 2,602.40, 3,902.80 and 870.62

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Solution

The fourth proportional to 2,602.40, 3,902.80 and 870.62 is: 1,305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.40 : 3,902.80 = 870.62 : x
  2. Step 2: Convert to fraction form
    2,602.40/3,902.80 = 870.62/x
  3. Step 3: Cross multiply
    2,602.40x = 3,902.80 × 870.62
  4. Step 4: Simplify right side
    2,602.40x = 3,397,855.74
  5. Step 5: Solve for x
    x = 3,397,855.74/2,602.40
  6. Step 6: Final answer
    x = 1,305.66

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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.