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Finding the Fourth Proportional to 4,874, 7,311.76 and 1,586.32

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Solution

The fourth proportional to 4,874, 7,311.76 and 1,586.32 is: 2,379.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874 : 7,311.76 = 1,586.32 : x
  2. Step 2: Convert to fraction form
    4,874/7,311.76 = 1,586.32/x
  3. Step 3: Cross multiply
    4,874x = 7,311.76 × 1,586.32
  4. Step 4: Simplify right side
    4,874x = 11,598,754.56
  5. Step 5: Solve for x
    x = 11,598,754.56/4,874
  6. Step 6: Final answer
    x = 2,379.72

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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.