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Finding the Fourth Proportional to 8,564.34, 12,847.32 and 3,369

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Solution

The fourth proportional to 8,564.34, 12,847.32 and 3,369 is: 5,053.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.34 : 12,847.32 = 3,369 : x
  2. Step 2: Convert to fraction form
    8,564.34/12,847.32 = 3,369/x
  3. Step 3: Cross multiply
    8,564.34x = 12,847.32 × 3,369
  4. Step 4: Simplify right side
    8,564.34x = 43,282,621.08
  5. Step 5: Solve for x
    x = 43,282,621.08/8,564.34
  6. Step 6: Final answer
    x = 5,053.82

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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.