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Finding the Fourth Proportional to 28,006.62, 42,009.94 and 7,228.50

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Solution

The fourth proportional to 28,006.62, 42,009.94 and 7,228.50 is: 10,842.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,006.62 : 42,009.94 = 7,228.50 : x
  2. Step 2: Convert to fraction form
    28,006.62/42,009.94 = 7,228.50/x
  3. Step 3: Cross multiply
    28,006.62x = 42,009.94 × 7,228.50
  4. Step 4: Simplify right side
    28,006.62x = 303,668,851.29
  5. Step 5: Solve for x
    x = 303,668,851.29/28,006.62
  6. Step 6: Final answer
    x = 10,842.75

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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.