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Finding the Fourth Proportional to 6,772, 10,159.28 and 3,124

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Solution

The fourth proportional to 6,772, 10,159.28 and 3,124 is: 4,686.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772 : 10,159.28 = 3,124 : x
  2. Step 2: Convert to fraction form
    6,772/10,159.28 = 3,124/x
  3. Step 3: Cross multiply
    6,772x = 10,159.28 × 3,124
  4. Step 4: Simplify right side
    6,772x = 31,737,590.72
  5. Step 5: Solve for x
    x = 31,737,590.72/6,772
  6. Step 6: Final answer
    x = 4,686.59

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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.