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Finding the Fourth Proportional to 18,827.16, 25,978.92 and 11,271.76

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Solution

The fourth proportional to 18,827.16, 25,978.92 and 11,271.76 is: 15,553.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,827.16 : 25,978.92 = 11,271.76 : x
  2. Step 2: Convert to fraction form
    18,827.16/25,978.92 = 11,271.76/x
  3. Step 3: Cross multiply
    18,827.16x = 25,978.92 × 11,271.76
  4. Step 4: Simplify right side
    18,827.16x = 292,828,151.30
  5. Step 5: Solve for x
    x = 292,828,151.30/18,827.16
  6. Step 6: Final answer
    x = 15,553.50

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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.