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Finding the Fourth Proportional to 18,926.65, 28,384.51 and 7,237.14

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Solution

The fourth proportional to 18,926.65, 28,384.51 and 7,237.14 is: 10,853.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,926.65 : 28,384.51 = 7,237.14 : x
  2. Step 2: Convert to fraction form
    18,926.65/28,384.51 = 7,237.14/x
  3. Step 3: Cross multiply
    18,926.65x = 28,384.51 × 7,237.14
  4. Step 4: Simplify right side
    18,926.65x = 205,422,672.70
  5. Step 5: Solve for x
    x = 205,422,672.70/18,926.65
  6. Step 6: Final answer
    x = 10,853.62

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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.