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Finding the Fourth Proportional to 8,561.84, 11,816.89 and 4,977.29

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Solution

The fourth proportional to 8,561.84, 11,816.89 and 4,977.29 is: 6,869.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.84 : 11,816.89 = 4,977.29 : x
  2. Step 2: Convert to fraction form
    8,561.84/11,816.89 = 4,977.29/x
  3. Step 3: Cross multiply
    8,561.84x = 11,816.89 × 4,977.29
  4. Step 4: Simplify right side
    8,561.84x = 58,816,088.43
  5. Step 5: Solve for x
    x = 58,816,088.43/8,561.84
  6. Step 6: Final answer
    x = 6,869.56

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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.