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Finding the Fourth Proportional to 5,649.86, 7,795.70 and 3,131.86

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Solution

The fourth proportional to 5,649.86, 7,795.70 and 3,131.86 is: 4,321.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.86 : 7,795.70 = 3,131.86 : x
  2. Step 2: Convert to fraction form
    5,649.86/7,795.70 = 3,131.86/x
  3. Step 3: Cross multiply
    5,649.86x = 7,795.70 × 3,131.86
  4. Step 4: Simplify right side
    5,649.86x = 24,415,041.00
  5. Step 5: Solve for x
    x = 24,415,041.00/5,649.86
  6. Step 6: Final answer
    x = 4,321.35

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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.