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Finding the Fourth Proportional to 1,801.76, 2,701.12 and 1,641.28

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Solution

The fourth proportional to 1,801.76, 2,701.12 and 1,641.28 is: 2,460.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.76 : 2,701.12 = 1,641.28 : x
  2. Step 2: Convert to fraction form
    1,801.76/2,701.12 = 1,641.28/x
  3. Step 3: Cross multiply
    1,801.76x = 2,701.12 × 1,641.28
  4. Step 4: Simplify right side
    1,801.76x = 4,433,294.23
  5. Step 5: Solve for x
    x = 4,433,294.23/1,801.76
  6. Step 6: Final answer
    x = 2,460.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.