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Finding the Fourth Proportional to 14,203.88, 21,306 and 5,439.32

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Solution

The fourth proportional to 14,203.88, 21,306 and 5,439.32 is: 8,159.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,203.88 : 21,306 = 5,439.32 : x
  2. Step 2: Convert to fraction form
    14,203.88/21,306 = 5,439.32/x
  3. Step 3: Cross multiply
    14,203.88x = 21,306 × 5,439.32
  4. Step 4: Simplify right side
    14,203.88x = 115,890,151.92
  5. Step 5: Solve for x
    x = 115,890,151.92/14,203.88
  6. Step 6: Final answer
    x = 8,159.05

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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.