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Finding the Fourth Proportional to 19,098, 28,656.10 and 9,231.78

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Solution

The fourth proportional to 19,098, 28,656.10 and 9,231.78 is: 13,852.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,098 : 28,656.10 = 9,231.78 : x
  2. Step 2: Convert to fraction form
    19,098/28,656.10 = 9,231.78/x
  3. Step 3: Cross multiply
    19,098x = 28,656.10 × 9,231.78
  4. Step 4: Simplify right side
    19,098x = 264,546,810.86
  5. Step 5: Solve for x
    x = 264,546,810.86/19,098
  6. Step 6: Final answer
    x = 13,852.07

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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.