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Finding the Fourth Proportional to 2,001.80, 2,771.70 and 1,899.40

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Solution

The fourth proportional to 2,001.80, 2,771.70 and 1,899.40 is: 2,629.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.80 : 2,771.70 = 1,899.40 : x
  2. Step 2: Convert to fraction form
    2,001.80/2,771.70 = 1,899.40/x
  3. Step 3: Cross multiply
    2,001.80x = 2,771.70 × 1,899.40
  4. Step 4: Simplify right side
    2,001.80x = 5,264,566.98
  5. Step 5: Solve for x
    x = 5,264,566.98/2,001.80
  6. Step 6: Final answer
    x = 2,629.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.