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Finding the Fourth Proportional to 3,454.40, 5,168.64 and 1,916.48

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Solution

The fourth proportional to 3,454.40, 5,168.64 and 1,916.48 is: 2,867.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.40 : 5,168.64 = 1,916.48 : x
  2. Step 2: Convert to fraction form
    3,454.40/5,168.64 = 1,916.48/x
  3. Step 3: Cross multiply
    3,454.40x = 5,168.64 × 1,916.48
  4. Step 4: Simplify right side
    3,454.40x = 9,905,595.19
  5. Step 5: Solve for x
    x = 9,905,595.19/3,454.40
  6. Step 6: Final answer
    x = 2,867.53

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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.