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Finding the Fourth Proportional to 3,709, 5,118.74 and 2,053.32

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Solution

The fourth proportional to 3,709, 5,118.74 and 2,053.32 is: 2,833.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709 : 5,118.74 = 2,053.32 : x
  2. Step 2: Convert to fraction form
    3,709/5,118.74 = 2,053.32/x
  3. Step 3: Cross multiply
    3,709x = 5,118.74 × 2,053.32
  4. Step 4: Simplify right side
    3,709x = 10,510,411.22
  5. Step 5: Solve for x
    x = 10,510,411.22/3,709
  6. Step 6: Final answer
    x = 2,833.76

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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.