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Finding the Fourth Proportional to 2,891.76, 4,335.85 and 1,408.03

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Solution

The fourth proportional to 2,891.76, 4,335.85 and 1,408.03 is: 2,111.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.76 : 4,335.85 = 1,408.03 : x
  2. Step 2: Convert to fraction form
    2,891.76/4,335.85 = 1,408.03/x
  3. Step 3: Cross multiply
    2,891.76x = 4,335.85 × 1,408.03
  4. Step 4: Simplify right side
    2,891.76x = 6,105,006.88
  5. Step 5: Solve for x
    x = 6,105,006.88/2,891.76
  6. Step 6: Final answer
    x = 2,111.17

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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.