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Finding the Fourth Proportional to 3,187.76, 4,783.05 and 1,545.89

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Solution

The fourth proportional to 3,187.76, 4,783.05 and 1,545.89 is: 2,319.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.76 : 4,783.05 = 1,545.89 : x
  2. Step 2: Convert to fraction form
    3,187.76/4,783.05 = 1,545.89/x
  3. Step 3: Cross multiply
    3,187.76x = 4,783.05 × 1,545.89
  4. Step 4: Simplify right side
    3,187.76x = 7,394,045.25
  5. Step 5: Solve for x
    x = 7,394,045.25/3,187.76
  6. Step 6: Final answer
    x = 2,319.51

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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.