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Finding the Fourth Proportional to 3,590.92, 4,955.31 and 1,997.65

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Solution

The fourth proportional to 3,590.92, 4,955.31 and 1,997.65 is: 2,756.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.92 : 4,955.31 = 1,997.65 : x
  2. Step 2: Convert to fraction form
    3,590.92/4,955.31 = 1,997.65/x
  3. Step 3: Cross multiply
    3,590.92x = 4,955.31 × 1,997.65
  4. Step 4: Simplify right side
    3,590.92x = 9,898,975.02
  5. Step 5: Solve for x
    x = 9,898,975.02/3,590.92
  6. Step 6: Final answer
    x = 2,756.67

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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.