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Finding the Fourth Proportional to 3,877.10, 5,827.80 and 3,804.20

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Solution

The fourth proportional to 3,877.10, 5,827.80 and 3,804.20 is: 5,718.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.10 : 5,827.80 = 3,804.20 : x
  2. Step 2: Convert to fraction form
    3,877.10/5,827.80 = 3,804.20/x
  3. Step 3: Cross multiply
    3,877.10x = 5,827.80 × 3,804.20
  4. Step 4: Simplify right side
    3,877.10x = 22,170,116.76
  5. Step 5: Solve for x
    x = 22,170,116.76/3,877.10
  6. Step 6: Final answer
    x = 5,718.22

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1.5x scale

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.