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Finding the Fourth Proportional to 12,640.02, 18,971.75 and 6,404.44

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Solution

The fourth proportional to 12,640.02, 18,971.75 and 6,404.44 is: 9,612.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,640.02 : 18,971.75 = 6,404.44 : x
  2. Step 2: Convert to fraction form
    12,640.02/18,971.75 = 6,404.44/x
  3. Step 3: Cross multiply
    12,640.02x = 18,971.75 × 6,404.44
  4. Step 4: Simplify right side
    12,640.02x = 121,503,434.57
  5. Step 5: Solve for x
    x = 121,503,434.57/12,640.02
  6. Step 6: Final answer
    x = 9,612.60

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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.