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Finding the Fourth Proportional to 19,118.36, 28,678 and 9,255.80

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Solution

The fourth proportional to 19,118.36, 28,678 and 9,255.80 is: 13,883.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,118.36 : 28,678 = 9,255.80 : x
  2. Step 2: Convert to fraction form
    19,118.36/28,678 = 9,255.80/x
  3. Step 3: Cross multiply
    19,118.36x = 28,678 × 9,255.80
  4. Step 4: Simplify right side
    19,118.36x = 265,437,832.40
  5. Step 5: Solve for x
    x = 265,437,832.40/19,118.36
  6. Step 6: Final answer
    x = 13,883.92

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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.