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Finding the Fourth Proportional to 28,306.65, 42,459.81 and 7,246.65

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Solution

The fourth proportional to 28,306.65, 42,459.81 and 7,246.65 is: 10,869.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,306.65 : 42,459.81 = 7,246.65 : x
  2. Step 2: Convert to fraction form
    28,306.65/42,459.81 = 7,246.65/x
  3. Step 3: Cross multiply
    28,306.65x = 42,459.81 × 7,246.65
  4. Step 4: Simplify right side
    28,306.65x = 307,691,382.14
  5. Step 5: Solve for x
    x = 307,691,382.14/28,306.65
  6. Step 6: Final answer
    x = 10,869.93

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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.