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Finding the Fourth Proportional to 2,881.89, 3,976.94 and 1,605.76

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Solution

The fourth proportional to 2,881.89, 3,976.94 and 1,605.76 is: 2,215.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.89 : 3,976.94 = 1,605.76 : x
  2. Step 2: Convert to fraction form
    2,881.89/3,976.94 = 1,605.76/x
  3. Step 3: Cross multiply
    2,881.89x = 3,976.94 × 1,605.76
  4. Step 4: Simplify right side
    2,881.89x = 6,386,011.17
  5. Step 5: Solve for x
    x = 6,386,011.17/2,881.89
  6. Step 6: Final answer
    x = 2,215.91

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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.