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Finding the Fourth Proportional to 3,335.78, 5,003.82 and 870.84

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Solution

The fourth proportional to 3,335.78, 5,003.82 and 870.84 is: 1,306.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,335.78 : 5,003.82 = 870.84 : x
  2. Step 2: Convert to fraction form
    3,335.78/5,003.82 = 870.84/x
  3. Step 3: Cross multiply
    3,335.78x = 5,003.82 × 870.84
  4. Step 4: Simplify right side
    3,335.78x = 4,357,526.61
  5. Step 5: Solve for x
    x = 4,357,526.61/3,335.78
  6. Step 6: Final answer
    x = 1,306.30

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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.