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Finding the Fourth Proportional to 7,720.75, 10,656.48 and 4,578.76

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Solution

The fourth proportional to 7,720.75, 10,656.48 and 4,578.76 is: 6,319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.75 : 10,656.48 = 4,578.76 : x
  2. Step 2: Convert to fraction form
    7,720.75/10,656.48 = 4,578.76/x
  3. Step 3: Cross multiply
    7,720.75x = 10,656.48 × 4,578.76
  4. Step 4: Simplify right side
    7,720.75x = 48,793,464.36
  5. Step 5: Solve for x
    x = 48,793,464.36/7,720.75
  6. Step 6: Final answer
    x = 6,319.78

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Half scale
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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.