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Finding the Fourth Proportional to 6,189.88, 9,274.01 and 5,156.50

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Solution

The fourth proportional to 6,189.88, 9,274.01 and 5,156.50 is: 7,725.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.88 : 9,274.01 = 5,156.50 : x
  2. Step 2: Convert to fraction form
    6,189.88/9,274.01 = 5,156.50/x
  3. Step 3: Cross multiply
    6,189.88x = 9,274.01 × 5,156.50
  4. Step 4: Simplify right side
    6,189.88x = 47,821,406.78
  5. Step 5: Solve for x
    x = 47,821,406.78/6,189.88
  6. Step 6: Final answer
    x = 7,725.74

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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.