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Finding the Fourth Proportional to 9,728, 14,590.42 and 3,486.94

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Solution

The fourth proportional to 9,728, 14,590.42 and 3,486.94 is: 5,229.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728 : 14,590.42 = 3,486.94 : x
  2. Step 2: Convert to fraction form
    9,728/14,590.42 = 3,486.94/x
  3. Step 3: Cross multiply
    9,728x = 14,590.42 × 3,486.94
  4. Step 4: Simplify right side
    9,728x = 50,875,919.11
  5. Step 5: Solve for x
    x = 50,875,919.11/9,728
  6. Step 6: Final answer
    x = 5,229.84

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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.