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Finding the Fourth Proportional to 27,184, 37,510.68 and 15,855.88

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Solution

The fourth proportional to 27,184, 37,510.68 and 15,855.88 is: 21,879.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,184 : 37,510.68 = 15,855.88 : x
  2. Step 2: Convert to fraction form
    27,184/37,510.68 = 15,855.88/x
  3. Step 3: Cross multiply
    27,184x = 37,510.68 × 15,855.88
  4. Step 4: Simplify right side
    27,184x = 594,764,840.80
  5. Step 5: Solve for x
    x = 594,764,840.80/27,184
  6. Step 6: Final answer
    x = 21,879.22

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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.