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Finding the Fourth Proportional to 9,247.84, 12,761.35 and 5,711.11

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Solution

The fourth proportional to 9,247.84, 12,761.35 and 5,711.11 is: 7,880.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247.84 : 12,761.35 = 5,711.11 : x
  2. Step 2: Convert to fraction form
    9,247.84/12,761.35 = 5,711.11/x
  3. Step 3: Cross multiply
    9,247.84x = 12,761.35 × 5,711.11
  4. Step 4: Simplify right side
    9,247.84x = 72,881,473.60
  5. Step 5: Solve for x
    x = 72,881,473.60/9,247.84
  6. Step 6: Final answer
    x = 7,880.92

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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.