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Finding the Fourth Proportional to 5,977.88, 8,971.50 and 4,141.88

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Solution

The fourth proportional to 5,977.88, 8,971.50 and 4,141.88 is: 6,216.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.88 : 8,971.50 = 4,141.88 : x
  2. Step 2: Convert to fraction form
    5,977.88/8,971.50 = 4,141.88/x
  3. Step 3: Cross multiply
    5,977.88x = 8,971.50 × 4,141.88
  4. Step 4: Simplify right side
    5,977.88x = 37,158,876.42
  5. Step 5: Solve for x
    x = 37,158,876.42/5,977.88
  6. Step 6: Final answer
    x = 6,216.06

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1.5x scale

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.