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Finding the Fourth Proportional to 2,921.56, 4,381.31 and 841

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Solution

The fourth proportional to 2,921.56, 4,381.31 and 841 is: 1,261.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,921.56 : 4,381.31 = 841 : x
  2. Step 2: Convert to fraction form
    2,921.56/4,381.31 = 841/x
  3. Step 3: Cross multiply
    2,921.56x = 4,381.31 × 841
  4. Step 4: Simplify right side
    2,921.56x = 3,684,677.51
  5. Step 5: Solve for x
    x = 3,684,677.51/2,921.56
  6. Step 6: Final answer
    x = 1,261.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.