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Finding the Fourth Proportional to 5,156.64, 7,725.04 and 4,118.56

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Solution

The fourth proportional to 5,156.64, 7,725.04 and 4,118.56 is: 6,169.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.64 : 7,725.04 = 4,118.56 : x
  2. Step 2: Convert to fraction form
    5,156.64/7,725.04 = 4,118.56/x
  3. Step 3: Cross multiply
    5,156.64x = 7,725.04 × 4,118.56
  4. Step 4: Simplify right side
    5,156.64x = 31,816,040.74
  5. Step 5: Solve for x
    x = 31,816,040.74/5,156.64
  6. Step 6: Final answer
    x = 6,169.92

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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.