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Finding the Fourth Proportional to 6,728, 10,101.28 and 4,643.06

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Solution

The fourth proportional to 6,728, 10,101.28 and 4,643.06 is: 6,970.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728 : 10,101.28 = 4,643.06 : x
  2. Step 2: Convert to fraction form
    6,728/10,101.28 = 4,643.06/x
  3. Step 3: Cross multiply
    6,728x = 10,101.28 × 4,643.06
  4. Step 4: Simplify right side
    6,728x = 46,900,849.12
  5. Step 5: Solve for x
    x = 46,900,849.12/6,728
  6. Step 6: Final answer
    x = 6,970.99

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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.