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Finding the Fourth Proportional to 28,194.50, 42,292.53 and 8,203.20

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Solution

The fourth proportional to 28,194.50, 42,292.53 and 8,203.20 is: 12,305.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,194.50 : 42,292.53 = 8,203.20 : x
  2. Step 2: Convert to fraction form
    28,194.50/42,292.53 = 8,203.20/x
  3. Step 3: Cross multiply
    28,194.50x = 42,292.53 × 8,203.20
  4. Step 4: Simplify right side
    28,194.50x = 346,934,082.10
  5. Step 5: Solve for x
    x = 346,934,082.10/28,194.50
  6. Step 6: Final answer
    x = 12,305.03

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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.