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Finding the Fourth Proportional to 8,972.94, 12,382.77 and 4,994.01

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Solution

The fourth proportional to 8,972.94, 12,382.77 and 4,994.01 is: 6,891.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972.94 : 12,382.77 = 4,994.01 : x
  2. Step 2: Convert to fraction form
    8,972.94/12,382.77 = 4,994.01/x
  3. Step 3: Cross multiply
    8,972.94x = 12,382.77 × 4,994.01
  4. Step 4: Simplify right side
    8,972.94x = 61,839,677.21
  5. Step 5: Solve for x
    x = 61,839,677.21/8,972.94
  6. Step 6: Final answer
    x = 6,891.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.