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Finding the Fourth Proportional to 8,823.76, 12,172.80 and 7,057.84

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Solution

The fourth proportional to 8,823.76, 12,172.80 and 7,057.84 is: 9,736.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,823.76 : 12,172.80 = 7,057.84 : x
  2. Step 2: Convert to fraction form
    8,823.76/12,172.80 = 7,057.84/x
  3. Step 3: Cross multiply
    8,823.76x = 12,172.80 × 7,057.84
  4. Step 4: Simplify right side
    8,823.76x = 85,913,674.75
  5. Step 5: Solve for x
    x = 85,913,674.75/8,823.76
  6. Step 6: Final answer
    x = 9,736.63

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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.