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Finding the Fourth Proportional to 2,917.96, 4,382.16 and 2,800.51

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Solution

The fourth proportional to 2,917.96, 4,382.16 and 2,800.51 is: 4,205.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.96 : 4,382.16 = 2,800.51 : x
  2. Step 2: Convert to fraction form
    2,917.96/4,382.16 = 2,800.51/x
  3. Step 3: Cross multiply
    2,917.96x = 4,382.16 × 2,800.51
  4. Step 4: Simplify right side
    2,917.96x = 12,272,282.90
  5. Step 5: Solve for x
    x = 12,272,282.90/2,917.96
  6. Step 6: Final answer
    x = 4,205.77

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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.