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Finding the Fourth Proportional to 3,877.10, 5,836.74 and 3,532.65

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Solution

The fourth proportional to 3,877.10, 5,836.74 and 3,532.65 is: 5,318.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.10 : 5,836.74 = 3,532.65 : x
  2. Step 2: Convert to fraction form
    3,877.10/5,836.74 = 3,532.65/x
  3. Step 3: Cross multiply
    3,877.10x = 5,836.74 × 3,532.65
  4. Step 4: Simplify right side
    3,877.10x = 20,619,159.56
  5. Step 5: Solve for x
    x = 20,619,159.56/3,877.10
  6. Step 6: Final answer
    x = 5,318.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.