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Finding the Fourth Proportional to 3,267.75, 4,509.50 and 1,870.77

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Solution

The fourth proportional to 3,267.75, 4,509.50 and 1,870.77 is: 2,581.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.75 : 4,509.50 = 1,870.77 : x
  2. Step 2: Convert to fraction form
    3,267.75/4,509.50 = 1,870.77/x
  3. Step 3: Cross multiply
    3,267.75x = 4,509.50 × 1,870.77
  4. Step 4: Simplify right side
    3,267.75x = 8,436,227.96
  5. Step 5: Solve for x
    x = 8,436,227.96/3,267.75
  6. Step 6: Final answer
    x = 2,581.66

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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.