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Finding the Fourth Proportional to 28,047.21, 42,070.50 and 8,057.20

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Solution

The fourth proportional to 28,047.21, 42,070.50 and 8,057.20 is: 12,085.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,047.21 : 42,070.50 = 8,057.20 : x
  2. Step 2: Convert to fraction form
    28,047.21/42,070.50 = 8,057.20/x
  3. Step 3: Cross multiply
    28,047.21x = 42,070.50 × 8,057.20
  4. Step 4: Simplify right side
    28,047.21x = 338,970,287.98
  5. Step 5: Solve for x
    x = 338,970,287.98/28,047.21
  6. Step 6: Final answer
    x = 12,085.70

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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.