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Finding the Fourth Proportional to 8,285.76, 12,414.06 and 7,792.47

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Solution

The fourth proportional to 8,285.76, 12,414.06 and 7,792.47 is: 11,674.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.76 : 12,414.06 = 7,792.47 : x
  2. Step 2: Convert to fraction form
    8,285.76/12,414.06 = 7,792.47/x
  3. Step 3: Cross multiply
    8,285.76x = 12,414.06 × 7,792.47
  4. Step 4: Simplify right side
    8,285.76x = 96,736,190.13
  5. Step 5: Solve for x
    x = 96,736,190.13/8,285.76
  6. Step 6: Final answer
    x = 11,674.99

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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.