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Finding the Fourth Proportional to 9,809.10, 14,719.95 and 5,429.70

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Solution

The fourth proportional to 9,809.10, 14,719.95 and 5,429.70 is: 8,148.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.10 : 14,719.95 = 5,429.70 : x
  2. Step 2: Convert to fraction form
    9,809.10/14,719.95 = 5,429.70/x
  3. Step 3: Cross multiply
    9,809.10x = 14,719.95 × 5,429.70
  4. Step 4: Simplify right side
    9,809.10x = 79,924,912.52
  5. Step 5: Solve for x
    x = 79,924,912.52/9,809.10
  6. Step 6: Final answer
    x = 8,148.04

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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.