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Finding the Fourth Proportional to 5,558.38, 7,670.58 and 3,074.38

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Solution

The fourth proportional to 5,558.38, 7,670.58 and 3,074.38 is: 4,242.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,558.38 : 7,670.58 = 3,074.38 : x
  2. Step 2: Convert to fraction form
    5,558.38/7,670.58 = 3,074.38/x
  3. Step 3: Cross multiply
    5,558.38x = 7,670.58 × 3,074.38
  4. Step 4: Simplify right side
    5,558.38x = 23,582,277.74
  5. Step 5: Solve for x
    x = 23,582,277.74/5,558.38
  6. Step 6: Final answer
    x = 4,242.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.