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Finding the Fourth Proportional to 3,905.79, 5,864.13 and 2,585.67

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Solution

The fourth proportional to 3,905.79, 5,864.13 and 2,585.67 is: 3,882.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.79 : 5,864.13 = 2,585.67 : x
  2. Step 2: Convert to fraction form
    3,905.79/5,864.13 = 2,585.67/x
  3. Step 3: Cross multiply
    3,905.79x = 5,864.13 × 2,585.67
  4. Step 4: Simplify right side
    3,905.79x = 15,162,705.02
  5. Step 5: Solve for x
    x = 15,162,705.02/3,905.79
  6. Step 6: Final answer
    x = 3,882.11

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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.