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Finding the Fourth Proportional to 12,790.64, 17,651.40 and 7,202

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Solution

The fourth proportional to 12,790.64, 17,651.40 and 7,202 is: 9,938.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,790.64 : 17,651.40 = 7,202 : x
  2. Step 2: Convert to fraction form
    12,790.64/17,651.40 = 7,202/x
  3. Step 3: Cross multiply
    12,790.64x = 17,651.40 × 7,202
  4. Step 4: Simplify right side
    12,790.64x = 127,125,382.80
  5. Step 5: Solve for x
    x = 127,125,382.80/12,790.64
  6. Step 6: Final answer
    x = 9,938.94

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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.