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Finding the Fourth Proportional to 2,654.91, 3,655.41 and 2,408.87

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Solution

The fourth proportional to 2,654.91, 3,655.41 and 2,408.87 is: 3,316.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.91 : 3,655.41 = 2,408.87 : x
  2. Step 2: Convert to fraction form
    2,654.91/3,655.41 = 2,408.87/x
  3. Step 3: Cross multiply
    2,654.91x = 3,655.41 × 2,408.87
  4. Step 4: Simplify right side
    2,654.91x = 8,805,421.14
  5. Step 5: Solve for x
    x = 8,805,421.14/2,654.91
  6. Step 6: Final answer
    x = 3,316.66

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1.5x scale

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.