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Finding the Fourth Proportional to 12,152.81, 16,772.38 and 6,848.57

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Solution

The fourth proportional to 12,152.81, 16,772.38 and 6,848.57 is: 9,451.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,152.81 : 16,772.38 = 6,848.57 : x
  2. Step 2: Convert to fraction form
    12,152.81/16,772.38 = 6,848.57/x
  3. Step 3: Cross multiply
    12,152.81x = 16,772.38 × 6,848.57
  4. Step 4: Simplify right side
    12,152.81x = 114,866,843.31
  5. Step 5: Solve for x
    x = 114,866,843.31/12,152.81
  6. Step 6: Final answer
    x = 9,451.87

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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.