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Finding the Fourth Proportional to 14,151, 21,226.50 and 4,423

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Solution

The fourth proportional to 14,151, 21,226.50 and 4,423 is: 6,634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,151 : 21,226.50 = 4,423 : x
  2. Step 2: Convert to fraction form
    14,151/21,226.50 = 4,423/x
  3. Step 3: Cross multiply
    14,151x = 21,226.50 × 4,423
  4. Step 4: Simplify right side
    14,151x = 93,884,809.50
  5. Step 5: Solve for x
    x = 93,884,809.50/14,151
  6. Step 6: Final answer
    x = 6,634.50

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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.