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Finding the Fourth Proportional to 10,652.06, 15,978.90 and 7,765.22

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Solution

The fourth proportional to 10,652.06, 15,978.90 and 7,765.22 is: 11,648.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.06 : 15,978.90 = 7,765.22 : x
  2. Step 2: Convert to fraction form
    10,652.06/15,978.90 = 7,765.22/x
  3. Step 3: Cross multiply
    10,652.06x = 15,978.90 × 7,765.22
  4. Step 4: Simplify right side
    10,652.06x = 124,079,673.86
  5. Step 5: Solve for x
    x = 124,079,673.86/10,652.06
  6. Step 6: Final answer
    x = 11,648.42

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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.