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Finding the Fourth Proportional to 19,241, 28,862.64 and 5,391.08

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Solution

The fourth proportional to 19,241, 28,862.64 and 5,391.08 is: 8,086.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,241 : 28,862.64 = 5,391.08 : x
  2. Step 2: Convert to fraction form
    19,241/28,862.64 = 5,391.08/x
  3. Step 3: Cross multiply
    19,241x = 28,862.64 × 5,391.08
  4. Step 4: Simplify right side
    19,241x = 155,600,801.25
  5. Step 5: Solve for x
    x = 155,600,801.25/19,241
  6. Step 6: Final answer
    x = 8,086.94

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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.