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Finding the Fourth Proportional to 2,651.61, 3,978.06 and 1,873.13

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Solution

The fourth proportional to 2,651.61, 3,978.06 and 1,873.13 is: 2,810.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.61 : 3,978.06 = 1,873.13 : x
  2. Step 2: Convert to fraction form
    2,651.61/3,978.06 = 1,873.13/x
  3. Step 3: Cross multiply
    2,651.61x = 3,978.06 × 1,873.13
  4. Step 4: Simplify right side
    2,651.61x = 7,451,403.64
  5. Step 5: Solve for x
    x = 7,451,403.64/2,651.61
  6. Step 6: Final answer
    x = 2,810.14

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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.