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Finding the Fourth Proportional to 12,715.80, 17,541.84 and 8,241

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Solution

The fourth proportional to 12,715.80, 17,541.84 and 8,241 is: 11,368.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,715.80 : 17,541.84 = 8,241 : x
  2. Step 2: Convert to fraction form
    12,715.80/17,541.84 = 8,241/x
  3. Step 3: Cross multiply
    12,715.80x = 17,541.84 × 8,241
  4. Step 4: Simplify right side
    12,715.80x = 144,562,303.44
  5. Step 5: Solve for x
    x = 144,562,303.44/12,715.80
  6. Step 6: Final answer
    x = 11,368.71

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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.