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Finding the Fourth Proportional to 10,989, 16,468.50 and 5,062.44

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Solution

The fourth proportional to 10,989, 16,468.50 and 5,062.44 is: 7,586.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,989 : 16,468.50 = 5,062.44 : x
  2. Step 2: Convert to fraction form
    10,989/16,468.50 = 5,062.44/x
  3. Step 3: Cross multiply
    10,989x = 16,468.50 × 5,062.44
  4. Step 4: Simplify right side
    10,989x = 83,370,793.14
  5. Step 5: Solve for x
    x = 83,370,793.14/10,989
  6. Step 6: Final answer
    x = 7,586.75

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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.