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Finding the Fourth Proportional to 13,978.04, 20,959.02 and 8,361.32

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Solution

The fourth proportional to 13,978.04, 20,959.02 and 8,361.32 is: 12,537.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.04 : 20,959.02 = 8,361.32 : x
  2. Step 2: Convert to fraction form
    13,978.04/20,959.02 = 8,361.32/x
  3. Step 3: Cross multiply
    13,978.04x = 20,959.02 × 8,361.32
  4. Step 4: Simplify right side
    13,978.04x = 175,245,073.11
  5. Step 5: Solve for x
    x = 175,245,073.11/13,978.04
  6. Step 6: Final answer
    x = 12,537.17

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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.