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Finding the Fourth Proportional to 2,070.72, 3,098.88 and 1,720.80

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Solution

The fourth proportional to 2,070.72, 3,098.88 and 1,720.80 is: 2,575.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.72 : 3,098.88 = 1,720.80 : x
  2. Step 2: Convert to fraction form
    2,070.72/3,098.88 = 1,720.80/x
  3. Step 3: Cross multiply
    2,070.72x = 3,098.88 × 1,720.80
  4. Step 4: Simplify right side
    2,070.72x = 5,332,552.70
  5. Step 5: Solve for x
    x = 5,332,552.70/2,070.72
  6. Step 6: Final answer
    x = 2,575.22

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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.