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Finding the Fourth Proportional to 10,959.64, 16,440.90 and 5,765.80

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Solution

The fourth proportional to 10,959.64, 16,440.90 and 5,765.80 is: 8,649.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959.64 : 16,440.90 = 5,765.80 : x
  2. Step 2: Convert to fraction form
    10,959.64/16,440.90 = 5,765.80/x
  3. Step 3: Cross multiply
    10,959.64x = 16,440.90 × 5,765.80
  4. Step 4: Simplify right side
    10,959.64x = 94,794,941.22
  5. Step 5: Solve for x
    x = 94,794,941.22/10,959.64
  6. Step 6: Final answer
    x = 8,649.46

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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.