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Finding the Fourth Proportional to 4,660.85, 6,991.28 and 3,837.40

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Solution

The fourth proportional to 4,660.85, 6,991.28 and 3,837.40 is: 5,756.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.85 : 6,991.28 = 3,837.40 : x
  2. Step 2: Convert to fraction form
    4,660.85/6,991.28 = 3,837.40/x
  3. Step 3: Cross multiply
    4,660.85x = 6,991.28 × 3,837.40
  4. Step 4: Simplify right side
    4,660.85x = 26,828,337.18
  5. Step 5: Solve for x
    x = 26,828,337.18/4,660.85
  6. Step 6: Final answer
    x = 5,756.10

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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.