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Finding the Fourth Proportional to 4,290.80, 6,439.80 and 2,101.40

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Solution

The fourth proportional to 4,290.80, 6,439.80 and 2,101.40 is: 3,153.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,290.80 : 6,439.80 = 2,101.40 : x
  2. Step 2: Convert to fraction form
    4,290.80/6,439.80 = 2,101.40/x
  3. Step 3: Cross multiply
    4,290.80x = 6,439.80 × 2,101.40
  4. Step 4: Simplify right side
    4,290.80x = 13,532,595.72
  5. Step 5: Solve for x
    x = 13,532,595.72/4,290.80
  6. Step 6: Final answer
    x = 3,153.86

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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.