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Finding the Fourth Proportional to 2,647.38, 3,971.04 and 1,558.67

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Solution

The fourth proportional to 2,647.38, 3,971.04 and 1,558.67 is: 2,337.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.38 : 3,971.04 = 1,558.67 : x
  2. Step 2: Convert to fraction form
    2,647.38/3,971.04 = 1,558.67/x
  3. Step 3: Cross multiply
    2,647.38x = 3,971.04 × 1,558.67
  4. Step 4: Simplify right side
    2,647.38x = 6,189,521.06
  5. Step 5: Solve for x
    x = 6,189,521.06/2,647.38
  6. Step 6: Final answer
    x = 2,337.98

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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.