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Finding the Fourth Proportional to 5,437, 8,149.38 and 2,971

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Solution

The fourth proportional to 5,437, 8,149.38 and 2,971 is: 4,453.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,437 : 8,149.38 = 2,971 : x
  2. Step 2: Convert to fraction form
    5,437/8,149.38 = 2,971/x
  3. Step 3: Cross multiply
    5,437x = 8,149.38 × 2,971
  4. Step 4: Simplify right side
    5,437x = 24,211,807.98
  5. Step 5: Solve for x
    x = 24,211,807.98/5,437
  6. Step 6: Final answer
    x = 4,453.16

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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.