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Finding the Fourth Proportional to 12,643.20, 17,359.20 and 10,267.20

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Solution

The fourth proportional to 12,643.20, 17,359.20 and 10,267.20 is: 14,096.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.20 : 17,359.20 = 10,267.20 : x
  2. Step 2: Convert to fraction form
    12,643.20/17,359.20 = 10,267.20/x
  3. Step 3: Cross multiply
    12,643.20x = 17,359.20 × 10,267.20
  4. Step 4: Simplify right side
    12,643.20x = 178,230,378.24
  5. Step 5: Solve for x
    x = 178,230,378.24/12,643.20
  6. Step 6: Final answer
    x = 14,096.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.