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Finding the Fourth Proportional to 19,158.78, 28,734 and 6,009.42

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Solution

The fourth proportional to 19,158.78, 28,734 and 6,009.42 is: 9,012.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,158.78 : 28,734 = 6,009.42 : x
  2. Step 2: Convert to fraction form
    19,158.78/28,734 = 6,009.42/x
  3. Step 3: Cross multiply
    19,158.78x = 28,734 × 6,009.42
  4. Step 4: Simplify right side
    19,158.78x = 172,674,674.28
  5. Step 5: Solve for x
    x = 172,674,674.28/19,158.78
  6. Step 6: Final answer
    x = 9,012.82

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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.