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Finding the Fourth Proportional to 6,729, 10,102.78 and 4,644.06

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Solution

The fourth proportional to 6,729, 10,102.78 and 4,644.06 is: 6,972.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729 : 10,102.78 = 4,644.06 : x
  2. Step 2: Convert to fraction form
    6,729/10,102.78 = 4,644.06/x
  3. Step 3: Cross multiply
    6,729x = 10,102.78 × 4,644.06
  4. Step 4: Simplify right side
    6,729x = 46,917,916.49
  5. Step 5: Solve for x
    x = 46,917,916.49/6,729
  6. Step 6: Final answer
    x = 6,972.49

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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.