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Finding the Fourth Proportional to 2,906.91, 4,011.51 and 1,580.63

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Solution

The fourth proportional to 2,906.91, 4,011.51 and 1,580.63 is: 2,181.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.91 : 4,011.51 = 1,580.63 : x
  2. Step 2: Convert to fraction form
    2,906.91/4,011.51 = 1,580.63/x
  3. Step 3: Cross multiply
    2,906.91x = 4,011.51 × 1,580.63
  4. Step 4: Simplify right side
    2,906.91x = 6,340,690.03
  5. Step 5: Solve for x
    x = 6,340,690.03/2,906.91
  6. Step 6: Final answer
    x = 2,181.25

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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.