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Finding the Fourth Proportional to 28,242.62, 42,360.68 and 7,467.74

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Solution

The fourth proportional to 28,242.62, 42,360.68 and 7,467.74 is: 11,200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,242.62 : 42,360.68 = 7,467.74 : x
  2. Step 2: Convert to fraction form
    28,242.62/42,360.68 = 7,467.74/x
  3. Step 3: Cross multiply
    28,242.62x = 42,360.68 × 7,467.74
  4. Step 4: Simplify right side
    28,242.62x = 316,338,544.46
  5. Step 5: Solve for x
    x = 316,338,544.46/28,242.62
  6. Step 6: Final answer
    x = 11,200.75

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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.