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Finding the Fourth Proportional to 3,203.89, 4,421.28 and 1,787.50

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Solution

The fourth proportional to 3,203.89, 4,421.28 and 1,787.50 is: 2,466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.89 : 4,421.28 = 1,787.50 : x
  2. Step 2: Convert to fraction form
    3,203.89/4,421.28 = 1,787.50/x
  3. Step 3: Cross multiply
    3,203.89x = 4,421.28 × 1,787.50
  4. Step 4: Simplify right side
    3,203.89x = 7,903,026.95
  5. Step 5: Solve for x
    x = 7,903,026.95/3,203.89
  6. Step 6: Final answer
    x = 2,466.70

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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.