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Finding the Fourth Proportional to 7,962.80, 10,981.32 and 4,977.68

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Solution

The fourth proportional to 7,962.80, 10,981.32 and 4,977.68 is: 6,864.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,962.80 : 10,981.32 = 4,977.68 : x
  2. Step 2: Convert to fraction form
    7,962.80/10,981.32 = 4,977.68/x
  3. Step 3: Cross multiply
    7,962.80x = 10,981.32 × 4,977.68
  4. Step 4: Simplify right side
    7,962.80x = 54,661,496.94
  5. Step 5: Solve for x
    x = 54,661,496.94/7,962.80
  6. Step 6: Final answer
    x = 6,864.61

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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.