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Finding the Fourth Proportional to 7,476.80, 10,322.40 and 4,828.16

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Solution

The fourth proportional to 7,476.80, 10,322.40 and 4,828.16 is: 6,665.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,476.80 : 10,322.40 = 4,828.16 : x
  2. Step 2: Convert to fraction form
    7,476.80/10,322.40 = 4,828.16/x
  3. Step 3: Cross multiply
    7,476.80x = 10,322.40 × 4,828.16
  4. Step 4: Simplify right side
    7,476.80x = 49,838,198.78
  5. Step 5: Solve for x
    x = 49,838,198.78/7,476.80
  6. Step 6: Final answer
    x = 6,665.71

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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.