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Finding the Fourth Proportional to 12,869.94, 17,760.38 and 7,204.74

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Solution

The fourth proportional to 12,869.94, 17,760.38 and 7,204.74 is: 9,942.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,869.94 : 17,760.38 = 7,204.74 : x
  2. Step 2: Convert to fraction form
    12,869.94/17,760.38 = 7,204.74/x
  3. Step 3: Cross multiply
    12,869.94x = 17,760.38 × 7,204.74
  4. Step 4: Simplify right side
    12,869.94x = 127,958,878.62
  5. Step 5: Solve for x
    x = 127,958,878.62/12,869.94
  6. Step 6: Final answer
    x = 9,942.46

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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.