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Finding the Fourth Proportional to 8,772, 12,105.36 and 5,046

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Solution

The fourth proportional to 8,772, 12,105.36 and 5,046 is: 6,963.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,772 : 12,105.36 = 5,046 : x
  2. Step 2: Convert to fraction form
    8,772/12,105.36 = 5,046/x
  3. Step 3: Cross multiply
    8,772x = 12,105.36 × 5,046
  4. Step 4: Simplify right side
    8,772x = 61,083,646.56
  5. Step 5: Solve for x
    x = 61,083,646.56/8,772
  6. Step 6: Final answer
    x = 6,963.48

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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.