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Finding the Fourth Proportional to 3,106.32, 4,658.64 and 914.48

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Solution

The fourth proportional to 3,106.32, 4,658.64 and 914.48 is: 1,371.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.32 : 4,658.64 = 914.48 : x
  2. Step 2: Convert to fraction form
    3,106.32/4,658.64 = 914.48/x
  3. Step 3: Cross multiply
    3,106.32x = 4,658.64 × 914.48
  4. Step 4: Simplify right side
    3,106.32x = 4,260,233.11
  5. Step 5: Solve for x
    x = 4,260,233.11/3,106.32
  6. Step 6: Final answer
    x = 1,371.47

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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.