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Finding the Fourth Proportional to 10,807.20, 14,911.20 and 8,467.20

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Solution

The fourth proportional to 10,807.20, 14,911.20 and 8,467.20 is: 11,682.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.20 : 14,911.20 = 8,467.20 : x
  2. Step 2: Convert to fraction form
    10,807.20/14,911.20 = 8,467.20/x
  3. Step 3: Cross multiply
    10,807.20x = 14,911.20 × 8,467.20
  4. Step 4: Simplify right side
    10,807.20x = 126,256,112.64
  5. Step 5: Solve for x
    x = 126,256,112.64/10,807.20
  6. Step 6: Final answer
    x = 11,682.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.