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Finding the Fourth Proportional to 6,806.50, 9,363.81 and 6,514.90

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Solution

The fourth proportional to 6,806.50, 9,363.81 and 6,514.90 is: 8,962.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.50 : 9,363.81 = 6,514.90 : x
  2. Step 2: Convert to fraction form
    6,806.50/9,363.81 = 6,514.90/x
  3. Step 3: Cross multiply
    6,806.50x = 9,363.81 × 6,514.90
  4. Step 4: Simplify right side
    6,806.50x = 61,004,285.77
  5. Step 5: Solve for x
    x = 61,004,285.77/6,806.50
  6. Step 6: Final answer
    x = 8,962.65

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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.