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Finding the Fourth Proportional to 7,912.64, 11,823.08 and 6,000.50

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Solution

The fourth proportional to 7,912.64, 11,823.08 and 6,000.50 is: 8,965.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.64 : 11,823.08 = 6,000.50 : x
  2. Step 2: Convert to fraction form
    7,912.64/11,823.08 = 6,000.50/x
  3. Step 3: Cross multiply
    7,912.64x = 11,823.08 × 6,000.50
  4. Step 4: Simplify right side
    7,912.64x = 70,944,391.54
  5. Step 5: Solve for x
    x = 70,944,391.54/7,912.64
  6. Step 6: Final answer
    x = 8,965.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.