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Finding the Fourth Proportional to 10,989, 15,165.90 and 6,273.36

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Solution

The fourth proportional to 10,989, 15,165.90 and 6,273.36 is: 8,657.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,989 : 15,165.90 = 6,273.36 : x
  2. Step 2: Convert to fraction form
    10,989/15,165.90 = 6,273.36/x
  3. Step 3: Cross multiply
    10,989x = 15,165.90 × 6,273.36
  4. Step 4: Simplify right side
    10,989x = 95,141,150.42
  5. Step 5: Solve for x
    x = 95,141,150.42/10,989
  6. Step 6: Final answer
    x = 8,657.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.