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Finding the Fourth Proportional to 10,949.20, 16,423.80 and 8,762.20

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Solution

The fourth proportional to 10,949.20, 16,423.80 and 8,762.20 is: 13,143.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,949.20 : 16,423.80 = 8,762.20 : x
  2. Step 2: Convert to fraction form
    10,949.20/16,423.80 = 8,762.20/x
  3. Step 3: Cross multiply
    10,949.20x = 16,423.80 × 8,762.20
  4. Step 4: Simplify right side
    10,949.20x = 143,908,620.36
  5. Step 5: Solve for x
    x = 143,908,620.36/10,949.20
  6. Step 6: Final answer
    x = 13,143.30

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1.5x scale

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.