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Finding the Fourth Proportional to 4,614.72, 6,921.86 and 2,148.68

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Solution

The fourth proportional to 4,614.72, 6,921.86 and 2,148.68 is: 3,222.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.72 : 6,921.86 = 2,148.68 : x
  2. Step 2: Convert to fraction form
    4,614.72/6,921.86 = 2,148.68/x
  3. Step 3: Cross multiply
    4,614.72x = 6,921.86 × 2,148.68
  4. Step 4: Simplify right side
    4,614.72x = 14,872,862.14
  5. Step 5: Solve for x
    x = 14,872,862.14/4,614.72
  6. Step 6: Final answer
    x = 3,222.92

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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.