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Finding the Fourth Proportional to 3,203.72, 4,421.08 and 1,787.50

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Solution

The fourth proportional to 3,203.72, 4,421.08 and 1,787.50 is: 2,466.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.72 : 4,421.08 = 1,787.50 : x
  2. Step 2: Convert to fraction form
    3,203.72/4,421.08 = 1,787.50/x
  3. Step 3: Cross multiply
    3,203.72x = 4,421.08 × 1,787.50
  4. Step 4: Simplify right side
    3,203.72x = 7,902,680.50
  5. Step 5: Solve for x
    x = 7,902,680.50/3,203.72
  6. Step 6: Final answer
    x = 2,466.72

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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.