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Finding the Fourth Proportional to 3,648.96, 5,470.56 and 1,916.64

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Solution

The fourth proportional to 3,648.96, 5,470.56 and 1,916.64 is: 2,873.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.96 : 5,470.56 = 1,916.64 : x
  2. Step 2: Convert to fraction form
    3,648.96/5,470.56 = 1,916.64/x
  3. Step 3: Cross multiply
    3,648.96x = 5,470.56 × 1,916.64
  4. Step 4: Simplify right side
    3,648.96x = 10,485,094.12
  5. Step 5: Solve for x
    x = 10,485,094.12/3,648.96
  6. Step 6: Final answer
    x = 2,873.45

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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.