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Finding the Fourth Proportional to 3,710, 5,119.96 and 2,054

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Solution

The fourth proportional to 3,710, 5,119.96 and 2,054 is: 2,834.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710 : 5,119.96 = 2,054 : x
  2. Step 2: Convert to fraction form
    3,710/5,119.96 = 2,054/x
  3. Step 3: Cross multiply
    3,710x = 5,119.96 × 2,054
  4. Step 4: Simplify right side
    3,710x = 10,516,397.84
  5. Step 5: Solve for x
    x = 10,516,397.84/3,710
  6. Step 6: Final answer
    x = 2,834.61

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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.