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Finding the Fourth Proportional to 2,341.98, 3,511.94 and 880.11

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Solution

The fourth proportional to 2,341.98, 3,511.94 and 880.11 is: 1,319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.98 : 3,511.94 = 880.11 : x
  2. Step 2: Convert to fraction form
    2,341.98/3,511.94 = 880.11/x
  3. Step 3: Cross multiply
    2,341.98x = 3,511.94 × 880.11
  4. Step 4: Simplify right side
    2,341.98x = 3,090,889.11
  5. Step 5: Solve for x
    x = 3,090,889.11/2,341.98
  6. Step 6: Final answer
    x = 1,319.78

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1.5x scale

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.