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Finding the Fourth Proportional to 4,228.60, 5,789.78 and 4,228.60

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Solution

The fourth proportional to 4,228.60, 5,789.78 and 4,228.60 is: 5,789.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,228.60 : 5,789.78 = 4,228.60 : x
  2. Step 2: Convert to fraction form
    4,228.60/5,789.78 = 4,228.60/x
  3. Step 3: Cross multiply
    4,228.60x = 5,789.78 × 4,228.60
  4. Step 4: Simplify right side
    4,228.60x = 24,482,663.71
  5. Step 5: Solve for x
    x = 24,482,663.71/4,228.60
  6. Step 6: Final answer
    x = 5,789.78

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.