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Finding the Fourth Proportional to 8,214.91, 12,314.97 and 2,948.68

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Solution

The fourth proportional to 8,214.91, 12,314.97 and 2,948.68 is: 4,420.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.91 : 12,314.97 = 2,948.68 : x
  2. Step 2: Convert to fraction form
    8,214.91/12,314.97 = 2,948.68/x
  3. Step 3: Cross multiply
    8,214.91x = 12,314.97 × 2,948.68
  4. Step 4: Simplify right side
    8,214.91x = 36,312,905.74
  5. Step 5: Solve for x
    x = 36,312,905.74/8,214.91
  6. Step 6: Final answer
    x = 4,420.37

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1.5x scale

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.