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Finding the Fourth Proportional to 2,001.61, 2,761.90 and 1,840.32

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Solution

The fourth proportional to 2,001.61, 2,761.90 and 1,840.32 is: 2,539.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.61 : 2,761.90 = 1,840.32 : x
  2. Step 2: Convert to fraction form
    2,001.61/2,761.90 = 1,840.32/x
  3. Step 3: Cross multiply
    2,001.61x = 2,761.90 × 1,840.32
  4. Step 4: Simplify right side
    2,001.61x = 5,082,770.61
  5. Step 5: Solve for x
    x = 5,082,770.61/2,001.61
  6. Step 6: Final answer
    x = 2,539.34

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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.