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Finding the Fourth Proportional to 14,261.94, 21,384 and 5,486.40

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Solution

The fourth proportional to 14,261.94, 21,384 and 5,486.40 is: 8,226.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,261.94 : 21,384 = 5,486.40 : x
  2. Step 2: Convert to fraction form
    14,261.94/21,384 = 5,486.40/x
  3. Step 3: Cross multiply
    14,261.94x = 21,384 × 5,486.40
  4. Step 4: Simplify right side
    14,261.94x = 117,321,177.60
  5. Step 5: Solve for x
    x = 117,321,177.60/14,261.94
  6. Step 6: Final answer
    x = 8,226.17

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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.