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Finding the Fourth Proportional to 2,169.50, 2,999.31 and 2,077.70

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Solution

The fourth proportional to 2,169.50, 2,999.31 and 2,077.70 is: 2,872.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.50 : 2,999.31 = 2,077.70 : x
  2. Step 2: Convert to fraction form
    2,169.50/2,999.31 = 2,077.70/x
  3. Step 3: Cross multiply
    2,169.50x = 2,999.31 × 2,077.70
  4. Step 4: Simplify right side
    2,169.50x = 6,231,666.39
  5. Step 5: Solve for x
    x = 6,231,666.39/2,169.50
  6. Step 6: Final answer
    x = 2,872.40

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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.