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Finding the Fourth Proportional to 13,664.61, 18,859.05 and 8,361.18

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Solution

The fourth proportional to 13,664.61, 18,859.05 and 8,361.18 is: 11,539.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,664.61 : 18,859.05 = 8,361.18 : x
  2. Step 2: Convert to fraction form
    13,664.61/18,859.05 = 8,361.18/x
  3. Step 3: Cross multiply
    13,664.61x = 18,859.05 × 8,361.18
  4. Step 4: Simplify right side
    13,664.61x = 157,683,911.68
  5. Step 5: Solve for x
    x = 157,683,911.68/13,664.61
  6. Step 6: Final answer
    x = 11,539.58

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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.