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Finding the Fourth Proportional to 5,466, 7,544.40 and 3,109.56

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Solution

The fourth proportional to 5,466, 7,544.40 and 3,109.56 is: 4,291.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,466 : 7,544.40 = 3,109.56 : x
  2. Step 2: Convert to fraction form
    5,466/7,544.40 = 3,109.56/x
  3. Step 3: Cross multiply
    5,466x = 7,544.40 × 3,109.56
  4. Step 4: Simplify right side
    5,466x = 23,459,764.46
  5. Step 5: Solve for x
    x = 23,459,764.46/5,466
  6. Step 6: Final answer
    x = 4,291.94

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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.