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Finding the Fourth Proportional to 18,846, 28,269 and 5,698.08

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Solution

The fourth proportional to 18,846, 28,269 and 5,698.08 is: 8,547.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,846 : 28,269 = 5,698.08 : x
  2. Step 2: Convert to fraction form
    18,846/28,269 = 5,698.08/x
  3. Step 3: Cross multiply
    18,846x = 28,269 × 5,698.08
  4. Step 4: Simplify right side
    18,846x = 161,079,023.52
  5. Step 5: Solve for x
    x = 161,079,023.52/18,846
  6. Step 6: Final answer
    x = 8,547.12

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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.