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Finding the Fourth Proportional to 12,283.59, 16,951.82 and 6,979.31

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Solution

The fourth proportional to 12,283.59, 16,951.82 and 6,979.31 is: 9,631.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.59 : 16,951.82 = 6,979.31 : x
  2. Step 2: Convert to fraction form
    12,283.59/16,951.82 = 6,979.31/x
  3. Step 3: Cross multiply
    12,283.59x = 16,951.82 × 6,979.31
  4. Step 4: Simplify right side
    12,283.59x = 118,311,929.57
  5. Step 5: Solve for x
    x = 118,311,929.57/12,283.59
  6. Step 6: Final answer
    x = 9,631.70

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1.5x scale

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.