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Finding the Fourth Proportional to 2,580.98, 3,869.84 and 937.50

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Solution

The fourth proportional to 2,580.98, 3,869.84 and 937.50 is: 1,405.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.98 : 3,869.84 = 937.50 : x
  2. Step 2: Convert to fraction form
    2,580.98/3,869.84 = 937.50/x
  3. Step 3: Cross multiply
    2,580.98x = 3,869.84 × 937.50
  4. Step 4: Simplify right side
    2,580.98x = 3,627,975
  5. Step 5: Solve for x
    x = 3,627,975/2,580.98
  6. Step 6: Final answer
    x = 1,405.66

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1.5x scale

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.