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Finding the Fourth Proportional to 10,649.80, 15,969.15 and 3,980.82

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Solution

The fourth proportional to 10,649.80, 15,969.15 and 3,980.82 is: 5,969.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.80 : 15,969.15 = 3,980.82 : x
  2. Step 2: Convert to fraction form
    10,649.80/15,969.15 = 3,980.82/x
  3. Step 3: Cross multiply
    10,649.80x = 15,969.15 × 3,980.82
  4. Step 4: Simplify right side
    10,649.80x = 63,570,311.70
  5. Step 5: Solve for x
    x = 63,570,311.70/10,649.80
  6. Step 6: Final answer
    x = 5,969.16

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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.