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Finding the Fourth Proportional to 2,580.76, 3,871.23 and 1,484.62

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Solution

The fourth proportional to 2,580.76, 3,871.23 and 1,484.62 is: 2,226.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.76 : 3,871.23 = 1,484.62 : x
  2. Step 2: Convert to fraction form
    2,580.76/3,871.23 = 1,484.62/x
  3. Step 3: Cross multiply
    2,580.76x = 3,871.23 × 1,484.62
  4. Step 4: Simplify right side
    2,580.76x = 5,747,305.48
  5. Step 5: Solve for x
    x = 5,747,305.48/2,580.76
  6. Step 6: Final answer
    x = 2,226.98

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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.