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Finding the Fourth Proportional to 2,580.84, 3,871.35 and 937.08

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Solution

The fourth proportional to 2,580.84, 3,871.35 and 937.08 is: 1,405.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.84 : 3,871.35 = 937.08 : x
  2. Step 2: Convert to fraction form
    2,580.84/3,871.35 = 937.08/x
  3. Step 3: Cross multiply
    2,580.84x = 3,871.35 × 937.08
  4. Step 4: Simplify right side
    2,580.84x = 3,627,764.66
  5. Step 5: Solve for x
    x = 3,627,764.66/2,580.84
  6. Step 6: Final answer
    x = 1,405.65

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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.