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Finding the Fourth Proportional to 13,649.77, 20,468.07 and 4,764.88

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Solution

The fourth proportional to 13,649.77, 20,468.07 and 4,764.88 is: 7,145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.77 : 20,468.07 = 4,764.88 : x
  2. Step 2: Convert to fraction form
    13,649.77/20,468.07 = 4,764.88/x
  3. Step 3: Cross multiply
    13,649.77x = 20,468.07 × 4,764.88
  4. Step 4: Simplify right side
    13,649.77x = 97,527,846.21
  5. Step 5: Solve for x
    x = 97,527,846.21/13,649.77
  6. Step 6: Final answer
    x = 7,145.02

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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.