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Finding the Fourth Proportional to 2,873.12, 4,305.56 and 1,637.98

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Solution

The fourth proportional to 2,873.12, 4,305.56 and 1,637.98 is: 2,454.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.12 : 4,305.56 = 1,637.98 : x
  2. Step 2: Convert to fraction form
    2,873.12/4,305.56 = 1,637.98/x
  3. Step 3: Cross multiply
    2,873.12x = 4,305.56 × 1,637.98
  4. Step 4: Simplify right side
    2,873.12x = 7,052,421.17
  5. Step 5: Solve for x
    x = 7,052,421.17/2,873.12
  6. Step 6: Final answer
    x = 2,454.62

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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.