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Finding the Fourth Proportional to 12,869.70, 17,758.89 and 7,204.08

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Solution

The fourth proportional to 12,869.70, 17,758.89 and 7,204.08 is: 9,940.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,869.70 : 17,758.89 = 7,204.08 : x
  2. Step 2: Convert to fraction form
    12,869.70/17,758.89 = 7,204.08/x
  3. Step 3: Cross multiply
    12,869.70x = 17,758.89 × 7,204.08
  4. Step 4: Simplify right side
    12,869.70x = 127,936,464.27
  5. Step 5: Solve for x
    x = 127,936,464.27/12,869.70
  6. Step 6: Final answer
    x = 9,940.90

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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.