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Finding the Fourth Proportional to 8,646, 12,969.52 and 2,803.12

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Solution

The fourth proportional to 8,646, 12,969.52 and 2,803.12 is: 4,204.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646 : 12,969.52 = 2,803.12 : x
  2. Step 2: Convert to fraction form
    8,646/12,969.52 = 2,803.12/x
  3. Step 3: Cross multiply
    8,646x = 12,969.52 × 2,803.12
  4. Step 4: Simplify right side
    8,646x = 36,355,120.90
  5. Step 5: Solve for x
    x = 36,355,120.90/8,646
  6. Step 6: Final answer
    x = 4,204.85

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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.