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Finding the Fourth Proportional to 28,113, 42,169.92 and 7,336.50

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Solution

The fourth proportional to 28,113, 42,169.92 and 7,336.50 is: 11,004.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,113 : 42,169.92 = 7,336.50 : x
  2. Step 2: Convert to fraction form
    28,113/42,169.92 = 7,336.50/x
  3. Step 3: Cross multiply
    28,113x = 42,169.92 × 7,336.50
  4. Step 4: Simplify right side
    28,113x = 309,379,618.08
  5. Step 5: Solve for x
    x = 309,379,618.08/28,113
  6. Step 6: Final answer
    x = 11,004.86

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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.