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Finding the Fourth Proportional to 8,538.65, 12,807.45 and 3,200.77

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Solution

The fourth proportional to 8,538.65, 12,807.45 and 3,200.77 is: 4,800.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.65 : 12,807.45 = 3,200.77 : x
  2. Step 2: Convert to fraction form
    8,538.65/12,807.45 = 3,200.77/x
  3. Step 3: Cross multiply
    8,538.65x = 12,807.45 × 3,200.77
  4. Step 4: Simplify right side
    8,538.65x = 40,993,717.75
  5. Step 5: Solve for x
    x = 40,993,717.75/8,538.65
  6. Step 6: Final answer
    x = 4,800.96

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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.