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Finding the Fourth Proportional to 3,898.31, 5,847.46 and 976.61

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Solution

The fourth proportional to 3,898.31, 5,847.46 and 976.61 is: 1,464.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.31 : 5,847.46 = 976.61 : x
  2. Step 2: Convert to fraction form
    3,898.31/5,847.46 = 976.61/x
  3. Step 3: Cross multiply
    3,898.31x = 5,847.46 × 976.61
  4. Step 4: Simplify right side
    3,898.31x = 5,710,681.82
  5. Step 5: Solve for x
    x = 5,710,681.82/3,898.31
  6. Step 6: Final answer
    x = 1,464.91

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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.