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Finding the Fourth Proportional to 4,974, 6,864.24 and 2,984.64

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Solution

The fourth proportional to 4,974, 6,864.24 and 2,984.64 is: 4,118.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974 : 6,864.24 = 2,984.64 : x
  2. Step 2: Convert to fraction form
    4,974/6,864.24 = 2,984.64/x
  3. Step 3: Cross multiply
    4,974x = 6,864.24 × 2,984.64
  4. Step 4: Simplify right side
    4,974x = 20,487,285.27
  5. Step 5: Solve for x
    x = 20,487,285.27/4,974
  6. Step 6: Final answer
    x = 4,118.88

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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.