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Finding the Fourth Proportional to 12,971.02, 17,898.96 and 7,382.02

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Solution

The fourth proportional to 12,971.02, 17,898.96 and 7,382.02 is: 10,186.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,971.02 : 17,898.96 = 7,382.02 : x
  2. Step 2: Convert to fraction form
    12,971.02/17,898.96 = 7,382.02/x
  3. Step 3: Cross multiply
    12,971.02x = 17,898.96 × 7,382.02
  4. Step 4: Simplify right side
    12,971.02x = 132,130,480.70
  5. Step 5: Solve for x
    x = 132,130,480.70/12,971.02
  6. Step 6: Final answer
    x = 10,186.59

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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.