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Finding the Fourth Proportional to 3,712, 5,122.56 and 2,056

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Solution

The fourth proportional to 3,712, 5,122.56 and 2,056 is: 2,837.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712 : 5,122.56 = 2,056 : x
  2. Step 2: Convert to fraction form
    3,712/5,122.56 = 2,056/x
  3. Step 3: Cross multiply
    3,712x = 5,122.56 × 2,056
  4. Step 4: Simplify right side
    3,712x = 10,531,983.36
  5. Step 5: Solve for x
    x = 10,531,983.36/3,712
  6. Step 6: Final answer
    x = 2,837.28

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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.