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Finding the Fourth Proportional to 8,266.65, 12,408.17 and 6,437.77

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Solution

The fourth proportional to 8,266.65, 12,408.17 and 6,437.77 is: 9,663.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.65 : 12,408.17 = 6,437.77 : x
  2. Step 2: Convert to fraction form
    8,266.65/12,408.17 = 6,437.77/x
  3. Step 3: Cross multiply
    8,266.65x = 12,408.17 × 6,437.77
  4. Step 4: Simplify right side
    8,266.65x = 79,880,944.58
  5. Step 5: Solve for x
    x = 79,880,944.58/8,266.65
  6. Step 6: Final answer
    x = 9,663.04

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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.