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Finding the Fourth Proportional to 13,480.74, 20,224.74 and 7,641.45

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Solution

The fourth proportional to 13,480.74, 20,224.74 and 7,641.45 is: 11,464.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,480.74 : 20,224.74 = 7,641.45 : x
  2. Step 2: Convert to fraction form
    13,480.74/20,224.74 = 7,641.45/x
  3. Step 3: Cross multiply
    13,480.74x = 20,224.74 × 7,641.45
  4. Step 4: Simplify right side
    13,480.74x = 154,546,339.47
  5. Step 5: Solve for x
    x = 154,546,339.47/13,480.74
  6. Step 6: Final answer
    x = 11,464.23

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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.