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Finding the Fourth Proportional to 6,503.78, 9,755.45 and 2,754.53

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Solution

The fourth proportional to 6,503.78, 9,755.45 and 2,754.53 is: 4,131.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.78 : 9,755.45 = 2,754.53 : x
  2. Step 2: Convert to fraction form
    6,503.78/9,755.45 = 2,754.53/x
  3. Step 3: Cross multiply
    6,503.78x = 9,755.45 × 2,754.53
  4. Step 4: Simplify right side
    6,503.78x = 26,871,683.74
  5. Step 5: Solve for x
    x = 26,871,683.74/6,503.78
  6. Step 6: Final answer
    x = 4,131.70

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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.