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Finding the Fourth Proportional to 14,549, 21,823.50 and 3,605

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Solution

The fourth proportional to 14,549, 21,823.50 and 3,605 is: 5,407.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549 : 21,823.50 = 3,605 : x
  2. Step 2: Convert to fraction form
    14,549/21,823.50 = 3,605/x
  3. Step 3: Cross multiply
    14,549x = 21,823.50 × 3,605
  4. Step 4: Simplify right side
    14,549x = 78,673,717.50
  5. Step 5: Solve for x
    x = 78,673,717.50/14,549
  6. Step 6: Final answer
    x = 5,407.50

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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.