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Finding the Fourth Proportional to 7,000.32, 9,651.84 and 5,669.12

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Solution

The fourth proportional to 7,000.32, 9,651.84 and 5,669.12 is: 7,816.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.32 : 9,651.84 = 5,669.12 : x
  2. Step 2: Convert to fraction form
    7,000.32/9,651.84 = 5,669.12/x
  3. Step 3: Cross multiply
    7,000.32x = 9,651.84 × 5,669.12
  4. Step 4: Simplify right side
    7,000.32x = 54,717,439.18
  5. Step 5: Solve for x
    x = 54,717,439.18/7,000.32
  6. Step 6: Final answer
    x = 7,816.42

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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.