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Finding the Fourth Proportional to 2,552, 3,520.08 and 1,842.66

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Solution

The fourth proportional to 2,552, 3,520.08 and 1,842.66 is: 2,541.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552 : 3,520.08 = 1,842.66 : x
  2. Step 2: Convert to fraction form
    2,552/3,520.08 = 1,842.66/x
  3. Step 3: Cross multiply
    2,552x = 3,520.08 × 1,842.66
  4. Step 4: Simplify right side
    2,552x = 6,486,310.61
  5. Step 5: Solve for x
    x = 6,486,310.61/2,552
  6. Step 6: Final answer
    x = 2,541.66

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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.