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Finding the Fourth Proportional to 28,047.50, 42,070.92 and 8,057.48

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Solution

The fourth proportional to 28,047.50, 42,070.92 and 8,057.48 is: 12,086.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,047.50 : 42,070.92 = 8,057.48 : x
  2. Step 2: Convert to fraction form
    28,047.50/42,070.92 = 8,057.48/x
  3. Step 3: Cross multiply
    28,047.50x = 42,070.92 × 8,057.48
  4. Step 4: Simplify right side
    28,047.50x = 338,985,401.23
  5. Step 5: Solve for x
    x = 338,985,401.23/28,047.50
  6. Step 6: Final answer
    x = 12,086.12

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1.5x scale

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.