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Finding the Fourth Proportional to 19,271.52, 28,896.84 and 8,874

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Solution

The fourth proportional to 19,271.52, 28,896.84 and 8,874 is: 13,306.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,271.52 : 28,896.84 = 8,874 : x
  2. Step 2: Convert to fraction form
    19,271.52/28,896.84 = 8,874/x
  3. Step 3: Cross multiply
    19,271.52x = 28,896.84 × 8,874
  4. Step 4: Simplify right side
    19,271.52x = 256,430,558.16
  5. Step 5: Solve for x
    x = 256,430,558.16/19,271.52
  6. Step 6: Final answer
    x = 13,306.19

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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.