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Finding the Fourth Proportional to 2,070.20, 2,891.80 and 2,070.20

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Solution

The fourth proportional to 2,070.20, 2,891.80 and 2,070.20 is: 2,891.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.20 : 2,891.80 = 2,070.20 : x
  2. Step 2: Convert to fraction form
    2,070.20/2,891.80 = 2,070.20/x
  3. Step 3: Cross multiply
    2,070.20x = 2,891.80 × 2,070.20
  4. Step 4: Simplify right side
    2,070.20x = 5,986,604.36
  5. Step 5: Solve for x
    x = 5,986,604.36/2,070.20
  6. Step 6: Final answer
    x = 2,891.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.