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Finding the Fourth Proportional to 10,254.77, 14,149.86 and 5,716.46

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Solution

The fourth proportional to 10,254.77, 14,149.86 and 5,716.46 is: 7,887.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254.77 : 14,149.86 = 5,716.46 : x
  2. Step 2: Convert to fraction form
    10,254.77/14,149.86 = 5,716.46/x
  3. Step 3: Cross multiply
    10,254.77x = 14,149.86 × 5,716.46
  4. Step 4: Simplify right side
    10,254.77x = 80,887,108.70
  5. Step 5: Solve for x
    x = 80,887,108.70/10,254.77
  6. Step 6: Final answer
    x = 7,887.75

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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.