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Finding the Fourth Proportional to 3,377.70, 5,066.55 and 912.45

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Solution

The fourth proportional to 3,377.70, 5,066.55 and 912.45 is: 1,368.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,377.70 : 5,066.55 = 912.45 : x
  2. Step 2: Convert to fraction form
    3,377.70/5,066.55 = 912.45/x
  3. Step 3: Cross multiply
    3,377.70x = 5,066.55 × 912.45
  4. Step 4: Simplify right side
    3,377.70x = 4,622,973.55
  5. Step 5: Solve for x
    x = 4,622,973.55/3,377.70
  6. Step 6: Final answer
    x = 1,368.68

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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.