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Finding the Fourth Proportional to 6,881.37, 9,492 and 5,728.62

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Solution

The fourth proportional to 6,881.37, 9,492 and 5,728.62 is: 7,901.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.37 : 9,492 = 5,728.62 : x
  2. Step 2: Convert to fraction form
    6,881.37/9,492 = 5,728.62/x
  3. Step 3: Cross multiply
    6,881.37x = 9,492 × 5,728.62
  4. Step 4: Simplify right side
    6,881.37x = 54,376,061.04
  5. Step 5: Solve for x
    x = 54,376,061.04/6,881.37
  6. Step 6: Final answer
    x = 7,901.92

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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.