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Finding the Fourth Proportional to 14,143.95, 21,167.33 and 9,769.95

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Solution

The fourth proportional to 14,143.95, 21,167.33 and 9,769.95 is: 14,621.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,143.95 : 21,167.33 = 9,769.95 : x
  2. Step 2: Convert to fraction form
    14,143.95/21,167.33 = 9,769.95/x
  3. Step 3: Cross multiply
    14,143.95x = 21,167.33 × 9,769.95
  4. Step 4: Simplify right side
    14,143.95x = 206,803,706.88
  5. Step 5: Solve for x
    x = 206,803,706.88/14,143.95
  6. Step 6: Final answer
    x = 14,621.35

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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.