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Finding the Fourth Proportional to 20,509.88, 30,767.78 and 6,465.15

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Solution

The fourth proportional to 20,509.88, 30,767.78 and 6,465.15 is: 9,698.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.88 : 30,767.78 = 6,465.15 : x
  2. Step 2: Convert to fraction form
    20,509.88/30,767.78 = 6,465.15/x
  3. Step 3: Cross multiply
    20,509.88x = 30,767.78 × 6,465.15
  4. Step 4: Simplify right side
    20,509.88x = 198,918,329.03
  5. Step 5: Solve for x
    x = 198,918,329.03/20,509.88
  6. Step 6: Final answer
    x = 9,698.66

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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.