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Finding the Fourth Proportional to 2,906.65, 4,011.15 and 1,580.32

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Solution

The fourth proportional to 2,906.65, 4,011.15 and 1,580.32 is: 2,180.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.65 : 4,011.15 = 1,580.32 : x
  2. Step 2: Convert to fraction form
    2,906.65/4,011.15 = 1,580.32/x
  3. Step 3: Cross multiply
    2,906.65x = 4,011.15 × 1,580.32
  4. Step 4: Simplify right side
    2,906.65x = 6,338,900.57
  5. Step 5: Solve for x
    x = 6,338,900.57/2,906.65
  6. Step 6: Final answer
    x = 2,180.83

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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.