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Finding the Fourth Proportional to 13,617.25, 18,793.74 and 7,649.32

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Solution

The fourth proportional to 13,617.25, 18,793.74 and 7,649.32 is: 10,557.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,617.25 : 18,793.74 = 7,649.32 : x
  2. Step 2: Convert to fraction form
    13,617.25/18,793.74 = 7,649.32/x
  3. Step 3: Cross multiply
    13,617.25x = 18,793.74 × 7,649.32
  4. Step 4: Simplify right side
    13,617.25x = 143,759,331.26
  5. Step 5: Solve for x
    x = 143,759,331.26/13,617.25
  6. Step 6: Final answer
    x = 10,557.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.