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Finding the Fourth Proportional to 4,647.76, 6,974.38 and 1,728.10

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Solution

The fourth proportional to 4,647.76, 6,974.38 and 1,728.10 is: 2,593.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.76 : 6,974.38 = 1,728.10 : x
  2. Step 2: Convert to fraction form
    4,647.76/6,974.38 = 1,728.10/x
  3. Step 3: Cross multiply
    4,647.76x = 6,974.38 × 1,728.10
  4. Step 4: Simplify right side
    4,647.76x = 12,052,426.08
  5. Step 5: Solve for x
    x = 12,052,426.08/4,647.76
  6. Step 6: Final answer
    x = 2,593.17

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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.