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Finding the Fourth Proportional to 5,586, 8,368.04 and 3,830.72

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Solution

The fourth proportional to 5,586, 8,368.04 and 3,830.72 is: 5,738.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586 : 8,368.04 = 3,830.72 : x
  2. Step 2: Convert to fraction form
    5,586/8,368.04 = 3,830.72/x
  3. Step 3: Cross multiply
    5,586x = 8,368.04 × 3,830.72
  4. Step 4: Simplify right side
    5,586x = 32,055,618.19
  5. Step 5: Solve for x
    x = 32,055,618.19/5,586
  6. Step 6: Final answer
    x = 5,738.56

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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.