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Finding the Fourth Proportional to 8,464.74, 12,697.97 and 2,917.35

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Solution

The fourth proportional to 8,464.74, 12,697.97 and 2,917.35 is: 4,376.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.74 : 12,697.97 = 2,917.35 : x
  2. Step 2: Convert to fraction form
    8,464.74/12,697.97 = 2,917.35/x
  3. Step 3: Cross multiply
    8,464.74x = 12,697.97 × 2,917.35
  4. Step 4: Simplify right side
    8,464.74x = 37,044,408.19
  5. Step 5: Solve for x
    x = 37,044,408.19/8,464.74
  6. Step 6: Final answer
    x = 4,376.32

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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.