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Finding the Fourth Proportional to 4,614.54, 6,921.92 and 1,653.20

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Solution

The fourth proportional to 4,614.54, 6,921.92 and 1,653.20 is: 2,479.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.54 : 6,921.92 = 1,653.20 : x
  2. Step 2: Convert to fraction form
    4,614.54/6,921.92 = 1,653.20/x
  3. Step 3: Cross multiply
    4,614.54x = 6,921.92 × 1,653.20
  4. Step 4: Simplify right side
    4,614.54x = 11,443,318.14
  5. Step 5: Solve for x
    x = 11,443,318.14/4,614.54
  6. Step 6: Final answer
    x = 2,479.84

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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.