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Finding the Fourth Proportional to 2,484.52, 3,727.26 and 841

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Solution

The fourth proportional to 2,484.52, 3,727.26 and 841 is: 1,261.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.52 : 3,727.26 = 841 : x
  2. Step 2: Convert to fraction form
    2,484.52/3,727.26 = 841/x
  3. Step 3: Cross multiply
    2,484.52x = 3,727.26 × 841
  4. Step 4: Simplify right side
    2,484.52x = 3,134,625.66
  5. Step 5: Solve for x
    x = 3,134,625.66/2,484.52
  6. Step 6: Final answer
    x = 1,261.66

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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.