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Finding the Fourth Proportional to 9,404.69, 12,972.30 and 6,042.20

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Solution

The fourth proportional to 9,404.69, 12,972.30 and 6,042.20 is: 8,334.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.69 : 12,972.30 = 6,042.20 : x
  2. Step 2: Convert to fraction form
    9,404.69/12,972.30 = 6,042.20/x
  3. Step 3: Cross multiply
    9,404.69x = 12,972.30 × 6,042.20
  4. Step 4: Simplify right side
    9,404.69x = 78,381,231.06
  5. Step 5: Solve for x
    x = 78,381,231.06/9,404.69
  6. Step 6: Final answer
    x = 8,334.27

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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.