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Finding the Fourth Proportional to 2,758.71, 4,137 and 909.48

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Solution

The fourth proportional to 2,758.71, 4,137 and 909.48 is: 1,363.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.71 : 4,137 = 909.48 : x
  2. Step 2: Convert to fraction form
    2,758.71/4,137 = 909.48/x
  3. Step 3: Cross multiply
    2,758.71x = 4,137 × 909.48
  4. Step 4: Simplify right side
    2,758.71x = 3,762,518.76
  5. Step 5: Solve for x
    x = 3,762,518.76/2,758.71
  6. Step 6: Final answer
    x = 1,363.87

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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.