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Finding the Fourth Proportional to 2,503.11, 3,454.00 and 1,384.05

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Solution

The fourth proportional to 2,503.11, 3,454.00 and 1,384.05 is: 1,909.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.11 : 3,454.00 = 1,384.05 : x
  2. Step 2: Convert to fraction form
    2,503.11/3,454.00 = 1,384.05/x
  3. Step 3: Cross multiply
    2,503.11x = 3,454.00 × 1,384.05
  4. Step 4: Simplify right side
    2,503.11x = 4,780,518.19
  5. Step 5: Solve for x
    x = 4,780,518.19/2,503.11
  6. Step 6: Final answer
    x = 1,909.83

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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.