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Finding the Fourth Proportional to 5,145.70, 7,105.05 and 4,155.70

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Solution

The fourth proportional to 5,145.70, 7,105.05 and 4,155.70 is: 5,738.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.70 : 7,105.05 = 4,155.70 : x
  2. Step 2: Convert to fraction form
    5,145.70/7,105.05 = 4,155.70/x
  3. Step 3: Cross multiply
    5,145.70x = 7,105.05 × 4,155.70
  4. Step 4: Simplify right side
    5,145.70x = 29,526,456.29
  5. Step 5: Solve for x
    x = 29,526,456.29/5,145.70
  6. Step 6: Final answer
    x = 5,738.08

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.