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Finding the Fourth Proportional to 8,912.58, 12,271.20 and 7,849.60

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Solution

The fourth proportional to 8,912.58, 12,271.20 and 7,849.60 is: 10,807.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,912.58 : 12,271.20 = 7,849.60 : x
  2. Step 2: Convert to fraction form
    8,912.58/12,271.20 = 7,849.60/x
  3. Step 3: Cross multiply
    8,912.58x = 12,271.20 × 7,849.60
  4. Step 4: Simplify right side
    8,912.58x = 96,324,011.52
  5. Step 5: Solve for x
    x = 96,324,011.52/8,912.58
  6. Step 6: Final answer
    x = 10,807.65

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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.