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Finding the Fourth Proportional to 9,759.14, 13,463.98 and 6,403.81

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Solution

The fourth proportional to 9,759.14, 13,463.98 and 6,403.81 is: 8,834.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.14 : 13,463.98 = 6,403.81 : x
  2. Step 2: Convert to fraction form
    9,759.14/13,463.98 = 6,403.81/x
  3. Step 3: Cross multiply
    9,759.14x = 13,463.98 × 6,403.81
  4. Step 4: Simplify right side
    9,759.14x = 86,220,769.76
  5. Step 5: Solve for x
    x = 86,220,769.76/9,759.14
  6. Step 6: Final answer
    x = 8,834.87

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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.