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Finding the Fourth Proportional to 14,534, 21,801.21 and 4,145.75

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Solution

The fourth proportional to 14,534, 21,801.21 and 4,145.75 is: 6,218.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,534 : 21,801.21 = 4,145.75 : x
  2. Step 2: Convert to fraction form
    14,534/21,801.21 = 4,145.75/x
  3. Step 3: Cross multiply
    14,534x = 21,801.21 × 4,145.75
  4. Step 4: Simplify right side
    14,534x = 90,382,366.36
  5. Step 5: Solve for x
    x = 90,382,366.36/14,534
  6. Step 6: Final answer
    x = 6,218.68

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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.