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Finding the Fourth Proportional to 6,503.64, 8,972.70 and 3,984.84

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Solution

The fourth proportional to 6,503.64, 8,972.70 and 3,984.84 is: 5,497.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.64 : 8,972.70 = 3,984.84 : x
  2. Step 2: Convert to fraction form
    6,503.64/8,972.70 = 3,984.84/x
  3. Step 3: Cross multiply
    6,503.64x = 8,972.70 × 3,984.84
  4. Step 4: Simplify right side
    6,503.64x = 35,754,773.87
  5. Step 5: Solve for x
    x = 35,754,773.87/6,503.64
  6. Step 6: Final answer
    x = 5,497.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.