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Finding the Fourth Proportional to 13,400.16, 18,486 and 8,361.12

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Solution

The fourth proportional to 13,400.16, 18,486 and 8,361.12 is: 11,534.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400.16 : 18,486 = 8,361.12 : x
  2. Step 2: Convert to fraction form
    13,400.16/18,486 = 8,361.12/x
  3. Step 3: Cross multiply
    13,400.16x = 18,486 × 8,361.12
  4. Step 4: Simplify right side
    13,400.16x = 154,563,664.32
  5. Step 5: Solve for x
    x = 154,563,664.32/13,400.16
  6. Step 6: Final answer
    x = 11,534.46

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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.