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Finding the Fourth Proportional to 2,901, 4,003.71 and 1,642.56

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Solution

The fourth proportional to 2,901, 4,003.71 and 1,642.56 is: 2,266.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901 : 4,003.71 = 1,642.56 : x
  2. Step 2: Convert to fraction form
    2,901/4,003.71 = 1,642.56/x
  3. Step 3: Cross multiply
    2,901x = 4,003.71 × 1,642.56
  4. Step 4: Simplify right side
    2,901x = 6,576,333.90
  5. Step 5: Solve for x
    x = 6,576,333.90/2,901
  6. Step 6: Final answer
    x = 2,266.92

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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.