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Finding the Fourth Proportional to 9,292.98, 12,819.80 and 6,151.80

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Solution

The fourth proportional to 9,292.98, 12,819.80 and 6,151.80 is: 8,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.98 : 12,819.80 = 6,151.80 : x
  2. Step 2: Convert to fraction form
    9,292.98/12,819.80 = 6,151.80/x
  3. Step 3: Cross multiply
    9,292.98x = 12,819.80 × 6,151.80
  4. Step 4: Simplify right side
    9,292.98x = 78,864,845.64
  5. Step 5: Solve for x
    x = 78,864,845.64/9,292.98
  6. Step 6: Final answer
    x = 8,486.50

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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.