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Finding the Fourth Proportional to 13,616.25, 18,792.36 and 7,648.32

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Solution

The fourth proportional to 13,616.25, 18,792.36 and 7,648.32 is: 10,555.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,616.25 : 18,792.36 = 7,648.32 : x
  2. Step 2: Convert to fraction form
    13,616.25/18,792.36 = 7,648.32/x
  3. Step 3: Cross multiply
    13,616.25x = 18,792.36 × 7,648.32
  4. Step 4: Simplify right side
    13,616.25x = 143,729,982.84
  5. Step 5: Solve for x
    x = 143,729,982.84/13,616.25
  6. Step 6: Final answer
    x = 10,555.77

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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.