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Finding the Fourth Proportional to 9,479, 14,223.62 and 4,615

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Solution

The fourth proportional to 9,479, 14,223.62 and 4,615 is: 6,924.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,479 : 14,223.62 = 4,615 : x
  2. Step 2: Convert to fraction form
    9,479/14,223.62 = 4,615/x
  3. Step 3: Cross multiply
    9,479x = 14,223.62 × 4,615
  4. Step 4: Simplify right side
    9,479x = 65,642,006.30
  5. Step 5: Solve for x
    x = 65,642,006.30/9,479
  6. Step 6: Final answer
    x = 6,924.99

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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.