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Finding the Fourth Proportional to 8,530.11, 12,778.11 and 6,778.08

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Solution

The fourth proportional to 8,530.11, 12,778.11 and 6,778.08 is: 10,153.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.11 : 12,778.11 = 6,778.08 : x
  2. Step 2: Convert to fraction form
    8,530.11/12,778.11 = 6,778.08/x
  3. Step 3: Cross multiply
    8,530.11x = 12,778.11 × 6,778.08
  4. Step 4: Simplify right side
    8,530.11x = 86,611,051.83
  5. Step 5: Solve for x
    x = 86,611,051.83/8,530.11
  6. Step 6: Final answer
    x = 10,153.57

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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.