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Finding the Fourth Proportional to 12,295.14, 16,947.06 and 8,711.30

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Solution

The fourth proportional to 12,295.14, 16,947.06 and 8,711.30 is: 12,007.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,295.14 : 16,947.06 = 8,711.30 : x
  2. Step 2: Convert to fraction form
    12,295.14/16,947.06 = 8,711.30/x
  3. Step 3: Cross multiply
    12,295.14x = 16,947.06 × 8,711.30
  4. Step 4: Simplify right side
    12,295.14x = 147,630,839.04
  5. Step 5: Solve for x
    x = 147,630,839.04/12,295.14
  6. Step 6: Final answer
    x = 12,007.25

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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.