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Finding the Fourth Proportional to 2,165.78, 3,249.90 and 916.28

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Solution

The fourth proportional to 2,165.78, 3,249.90 and 916.28 is: 1,374.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.78 : 3,249.90 = 916.28 : x
  2. Step 2: Convert to fraction form
    2,165.78/3,249.90 = 916.28/x
  3. Step 3: Cross multiply
    2,165.78x = 3,249.90 × 916.28
  4. Step 4: Simplify right side
    2,165.78x = 2,977,818.37
  5. Step 5: Solve for x
    x = 2,977,818.37/2,165.78
  6. Step 6: Final answer
    x = 1,374.94

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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.