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Finding the Fourth Proportional to 9,517.70, 14,278.71 and 5,135.06

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Solution

The fourth proportional to 9,517.70, 14,278.71 and 5,135.06 is: 7,703.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.70 : 14,278.71 = 5,135.06 : x
  2. Step 2: Convert to fraction form
    9,517.70/14,278.71 = 5,135.06/x
  3. Step 3: Cross multiply
    9,517.70x = 14,278.71 × 5,135.06
  4. Step 4: Simplify right side
    9,517.70x = 73,322,032.57
  5. Step 5: Solve for x
    x = 73,322,032.57/9,517.70
  6. Step 6: Final answer
    x = 7,703.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.