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Finding the Fourth Proportional to 5,437.56, 8,156.34 and 1,974

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Solution

The fourth proportional to 5,437.56, 8,156.34 and 1,974 is: 2,961

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,437.56 : 8,156.34 = 1,974 : x
  2. Step 2: Convert to fraction form
    5,437.56/8,156.34 = 1,974/x
  3. Step 3: Cross multiply
    5,437.56x = 8,156.34 × 1,974
  4. Step 4: Simplify right side
    5,437.56x = 16,100,615.16
  5. Step 5: Solve for x
    x = 16,100,615.16/5,437.56
  6. Step 6: Final answer
    x = 2,961

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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.