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Finding the Fourth Proportional to 3,200.04, 4,415.49 and 1,873.71

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Solution

The fourth proportional to 3,200.04, 4,415.49 and 1,873.71 is: 2,585.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.04 : 4,415.49 = 1,873.71 : x
  2. Step 2: Convert to fraction form
    3,200.04/4,415.49 = 1,873.71/x
  3. Step 3: Cross multiply
    3,200.04x = 4,415.49 × 1,873.71
  4. Step 4: Simplify right side
    3,200.04x = 8,273,347.77
  5. Step 5: Solve for x
    x = 8,273,347.77/3,200.04
  6. Step 6: Final answer
    x = 2,585.39

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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.