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Finding the Fourth Proportional to 28,112.50, 42,169.16 and 7,336

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Solution

The fourth proportional to 28,112.50, 42,169.16 and 7,336 is: 11,004.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,112.50 : 42,169.16 = 7,336 : x
  2. Step 2: Convert to fraction form
    28,112.50/42,169.16 = 7,336/x
  3. Step 3: Cross multiply
    28,112.50x = 42,169.16 × 7,336
  4. Step 4: Simplify right side
    28,112.50x = 309,352,957.76
  5. Step 5: Solve for x
    x = 309,352,957.76/28,112.50
  6. Step 6: Final answer
    x = 11,004.11

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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.