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Finding the Fourth Proportional to 8,534.16, 12,806.10 and 6,813.72

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Solution

The fourth proportional to 8,534.16, 12,806.10 and 6,813.72 is: 10,224.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.16 : 12,806.10 = 6,813.72 : x
  2. Step 2: Convert to fraction form
    8,534.16/12,806.10 = 6,813.72/x
  3. Step 3: Cross multiply
    8,534.16x = 12,806.10 × 6,813.72
  4. Step 4: Simplify right side
    8,534.16x = 87,257,179.69
  5. Step 5: Solve for x
    x = 87,257,179.69/8,534.16
  6. Step 6: Final answer
    x = 10,224.46

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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.