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Finding the Fourth Proportional to 6,288.80, 9,406.20 and 5,635.40

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Solution

The fourth proportional to 6,288.80, 9,406.20 and 5,635.40 is: 8,428.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.80 : 9,406.20 = 5,635.40 : x
  2. Step 2: Convert to fraction form
    6,288.80/9,406.20 = 5,635.40/x
  3. Step 3: Cross multiply
    6,288.80x = 9,406.20 × 5,635.40
  4. Step 4: Simplify right side
    6,288.80x = 53,007,699.48
  5. Step 5: Solve for x
    x = 53,007,699.48/6,288.80
  6. Step 6: Final answer
    x = 8,428.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.