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Finding the Fourth Proportional to 6,646.76, 9,169.44 and 4,255.60

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Solution

The fourth proportional to 6,646.76, 9,169.44 and 4,255.60 is: 5,870.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.76 : 9,169.44 = 4,255.60 : x
  2. Step 2: Convert to fraction form
    6,646.76/9,169.44 = 4,255.60/x
  3. Step 3: Cross multiply
    6,646.76x = 9,169.44 × 4,255.60
  4. Step 4: Simplify right side
    6,646.76x = 39,021,468.86
  5. Step 5: Solve for x
    x = 39,021,468.86/6,646.76
  6. Step 6: Final answer
    x = 5,870.75

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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.