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Finding the Fourth Proportional to 7,711.68, 10,642.74 and 4,355.31

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Solution

The fourth proportional to 7,711.68, 10,642.74 and 4,355.31 is: 6,010.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.68 : 10,642.74 = 4,355.31 : x
  2. Step 2: Convert to fraction form
    7,711.68/10,642.74 = 4,355.31/x
  3. Step 3: Cross multiply
    7,711.68x = 10,642.74 × 4,355.31
  4. Step 4: Simplify right side
    7,711.68x = 46,352,378.74
  5. Step 5: Solve for x
    x = 46,352,378.74/7,711.68
  6. Step 6: Final answer
    x = 6,010.68

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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.