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Finding the Fourth Proportional to 3,377.64, 5,066.46 and 912.47

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Solution

The fourth proportional to 3,377.64, 5,066.46 and 912.47 is: 1,368.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,377.64 : 5,066.46 = 912.47 : x
  2. Step 2: Convert to fraction form
    3,377.64/5,066.46 = 912.47/x
  3. Step 3: Cross multiply
    3,377.64x = 5,066.46 × 912.47
  4. Step 4: Simplify right side
    3,377.64x = 4,622,967.42
  5. Step 5: Solve for x
    x = 4,622,967.42/3,377.64
  6. Step 6: Final answer
    x = 1,368.70

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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.