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Finding the Fourth Proportional to 19,282, 28,927.88 and 5,431

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Solution

The fourth proportional to 19,282, 28,927.88 and 5,431 is: 8,147.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,282 : 28,927.88 = 5,431 : x
  2. Step 2: Convert to fraction form
    19,282/28,927.88 = 5,431/x
  3. Step 3: Cross multiply
    19,282x = 28,927.88 × 5,431
  4. Step 4: Simplify right side
    19,282x = 157,107,316.28
  5. Step 5: Solve for x
    x = 157,107,316.28/19,282
  6. Step 6: Final answer
    x = 8,147.87

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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.