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Finding the Fourth Proportional to 8,145.24, 12,294.36 and 8,145.24

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Solution

The fourth proportional to 8,145.24, 12,294.36 and 8,145.24 is: 12,294.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.24 : 12,294.36 = 8,145.24 : x
  2. Step 2: Convert to fraction form
    8,145.24/12,294.36 = 8,145.24/x
  3. Step 3: Cross multiply
    8,145.24x = 12,294.36 × 8,145.24
  4. Step 4: Simplify right side
    8,145.24x = 100,140,512.85
  5. Step 5: Solve for x
    x = 100,140,512.85/8,145.24
  6. Step 6: Final answer
    x = 12,294.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.