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Finding the Fourth Proportional to 7,539.71, 10,405.07 and 5,647.95

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Solution

The fourth proportional to 7,539.71, 10,405.07 and 5,647.95 is: 7,794.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,539.71 : 10,405.07 = 5,647.95 : x
  2. Step 2: Convert to fraction form
    7,539.71/10,405.07 = 5,647.95/x
  3. Step 3: Cross multiply
    7,539.71x = 10,405.07 × 5,647.95
  4. Step 4: Simplify right side
    7,539.71x = 58,767,286.87
  5. Step 5: Solve for x
    x = 58,767,286.87/7,539.71
  6. Step 6: Final answer
    x = 7,794.37

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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.