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Finding the Fourth Proportional to 19,391, 29,086.50 and 5,540

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Solution

The fourth proportional to 19,391, 29,086.50 and 5,540 is: 8,310

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,391 : 29,086.50 = 5,540 : x
  2. Step 2: Convert to fraction form
    19,391/29,086.50 = 5,540/x
  3. Step 3: Cross multiply
    19,391x = 29,086.50 × 5,540
  4. Step 4: Simplify right side
    19,391x = 161,139,210
  5. Step 5: Solve for x
    x = 161,139,210/19,391
  6. Step 6: Final answer
    x = 8,310

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.