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Finding the Fourth Proportional to 3,753.84, 5,621.36 and 2,580.76

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Solution

The fourth proportional to 3,753.84, 5,621.36 and 2,580.76 is: 3,864.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.84 : 5,621.36 = 2,580.76 : x
  2. Step 2: Convert to fraction form
    3,753.84/5,621.36 = 2,580.76/x
  3. Step 3: Cross multiply
    3,753.84x = 5,621.36 × 2,580.76
  4. Step 4: Simplify right side
    3,753.84x = 14,507,381.03
  5. Step 5: Solve for x
    x = 14,507,381.03/3,753.84
  6. Step 6: Final answer
    x = 3,864.68

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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.