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Finding the Fourth Proportional to 18,457.77, 27,687.05 and 5,977.77

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Solution

The fourth proportional to 18,457.77, 27,687.05 and 5,977.77 is: 8,966.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,457.77 : 27,687.05 = 5,977.77 : x
  2. Step 2: Convert to fraction form
    18,457.77/27,687.05 = 5,977.77/x
  3. Step 3: Cross multiply
    18,457.77x = 27,687.05 × 5,977.77
  4. Step 4: Simplify right side
    18,457.77x = 165,506,705.58
  5. Step 5: Solve for x
    x = 165,506,705.58/18,457.77
  6. Step 6: Final answer
    x = 8,966.78

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Why These Related Problems?

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