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Finding the Fourth Proportional to 6,947.91, 10,390.95 and 6,172.95

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Solution

The fourth proportional to 6,947.91, 10,390.95 and 6,172.95 is: 9,231.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.91 : 10,390.95 = 6,172.95 : x
  2. Step 2: Convert to fraction form
    6,947.91/10,390.95 = 6,172.95/x
  3. Step 3: Cross multiply
    6,947.91x = 10,390.95 × 6,172.95
  4. Step 4: Simplify right side
    6,947.91x = 64,142,814.80
  5. Step 5: Solve for x
    x = 64,142,814.80/6,947.91
  6. Step 6: Final answer
    x = 9,231.96

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1.5x scale

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.