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Finding the Fourth Proportional to 12,805.65, 19,157.94 and 9,694.71

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Solution

The fourth proportional to 12,805.65, 19,157.94 and 9,694.71 is: 14,503.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805.65 : 19,157.94 = 9,694.71 : x
  2. Step 2: Convert to fraction form
    12,805.65/19,157.94 = 9,694.71/x
  3. Step 3: Cross multiply
    12,805.65x = 19,157.94 × 9,694.71
  4. Step 4: Simplify right side
    12,805.65x = 185,730,672.50
  5. Step 5: Solve for x
    x = 185,730,672.50/12,805.65
  6. Step 6: Final answer
    x = 14,503.81

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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.