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Finding the Fourth Proportional to 10,147.85, 14,003.94 and 5,610.84

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Solution

The fourth proportional to 10,147.85, 14,003.94 and 5,610.84 is: 7,742.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.85 : 14,003.94 = 5,610.84 : x
  2. Step 2: Convert to fraction form
    10,147.85/14,003.94 = 5,610.84/x
  3. Step 3: Cross multiply
    10,147.85x = 14,003.94 × 5,610.84
  4. Step 4: Simplify right side
    10,147.85x = 78,573,803.67
  5. Step 5: Solve for x
    x = 78,573,803.67/10,147.85
  6. Step 6: Final answer
    x = 7,742.90

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