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Finding the Fourth Proportional to 18,391, 27,586.57 and 4,540

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Solution

The fourth proportional to 18,391, 27,586.57 and 4,540 is: 6,810.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,391 : 27,586.57 = 4,540 : x
  2. Step 2: Convert to fraction form
    18,391/27,586.57 = 4,540/x
  3. Step 3: Cross multiply
    18,391x = 27,586.57 × 4,540
  4. Step 4: Simplify right side
    18,391x = 125,243,027.80
  5. Step 5: Solve for x
    x = 125,243,027.80/18,391
  6. Step 6: Final answer
    x = 6,810.02

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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.