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Finding the Fourth Proportional to 8,152.77, 12,221.82 and 2,955

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Solution

The fourth proportional to 8,152.77, 12,221.82 and 2,955 is: 4,429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.77 : 12,221.82 = 2,955 : x
  2. Step 2: Convert to fraction form
    8,152.77/12,221.82 = 2,955/x
  3. Step 3: Cross multiply
    8,152.77x = 12,221.82 × 2,955
  4. Step 4: Simplify right side
    8,152.77x = 36,115,478.10
  5. Step 5: Solve for x
    x = 36,115,478.10/8,152.77
  6. Step 6: Final answer
    x = 4,429.84

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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.