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Finding the Fourth Proportional to 9,292.70, 12,824.52 and 6,143.42

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Solution

The fourth proportional to 9,292.70, 12,824.52 and 6,143.42 is: 8,478.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.70 : 12,824.52 = 6,143.42 : x
  2. Step 2: Convert to fraction form
    9,292.70/12,824.52 = 6,143.42/x
  3. Step 3: Cross multiply
    9,292.70x = 12,824.52 × 6,143.42
  4. Step 4: Simplify right side
    9,292.70x = 78,786,412.66
  5. Step 5: Solve for x
    x = 78,786,412.66/9,292.70
  6. Step 6: Final answer
    x = 8,478.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.