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Finding the Fourth Proportional to 8,464, 12,696.80 and 2,917.12

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Solution

The fourth proportional to 8,464, 12,696.80 and 2,917.12 is: 4,375.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464 : 12,696.80 = 2,917.12 : x
  2. Step 2: Convert to fraction form
    8,464/12,696.80 = 2,917.12/x
  3. Step 3: Cross multiply
    8,464x = 12,696.80 × 2,917.12
  4. Step 4: Simplify right side
    8,464x = 37,038,089.22
  5. Step 5: Solve for x
    x = 37,038,089.22/8,464
  6. Step 6: Final answer
    x = 4,375.96

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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.