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Finding the Fourth Proportional to 3,062, 4,592.88 and 870.64

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Solution

The fourth proportional to 3,062, 4,592.88 and 870.64 is: 1,305.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,062 : 4,592.88 = 870.64 : x
  2. Step 2: Convert to fraction form
    3,062/4,592.88 = 870.64/x
  3. Step 3: Cross multiply
    3,062x = 4,592.88 × 870.64
  4. Step 4: Simplify right side
    3,062x = 3,998,745.04
  5. Step 5: Solve for x
    x = 3,998,745.04/3,062
  6. Step 6: Final answer
    x = 1,305.93

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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.