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Finding the Fourth Proportional to 14,424.57, 21,640.38 and 8,506.44

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Solution

The fourth proportional to 14,424.57, 21,640.38 and 8,506.44 is: 12,761.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,424.57 : 21,640.38 = 8,506.44 : x
  2. Step 2: Convert to fraction form
    14,424.57/21,640.38 = 8,506.44/x
  3. Step 3: Cross multiply
    14,424.57x = 21,640.38 × 8,506.44
  4. Step 4: Simplify right side
    14,424.57x = 184,082,594.05
  5. Step 5: Solve for x
    x = 184,082,594.05/14,424.57
  6. Step 6: Final answer
    x = 12,761.74

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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.