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Finding the Fourth Proportional to 18,461.84, 27,689.74 and 5,311.24

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Solution

The fourth proportional to 18,461.84, 27,689.74 and 5,311.24 is: 7,965.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,461.84 : 27,689.74 = 5,311.24 : x
  2. Step 2: Convert to fraction form
    18,461.84/27,689.74 = 5,311.24/x
  3. Step 3: Cross multiply
    18,461.84x = 27,689.74 × 5,311.24
  4. Step 4: Simplify right side
    18,461.84x = 147,066,854.68
  5. Step 5: Solve for x
    x = 147,066,854.68/18,461.84
  6. Step 6: Final answer
    x = 7,965.99

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1.5x scale

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.