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Finding the Fourth Proportional to 6,644.72, 9,971.24 and 6,142.80

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Solution

The fourth proportional to 6,644.72, 9,971.24 and 6,142.80 is: 9,218.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.72 : 9,971.24 = 6,142.80 : x
  2. Step 2: Convert to fraction form
    6,644.72/9,971.24 = 6,142.80/x
  3. Step 3: Cross multiply
    6,644.72x = 9,971.24 × 6,142.80
  4. Step 4: Simplify right side
    6,644.72x = 61,251,333.07
  5. Step 5: Solve for x
    x = 61,251,333.07/6,644.72
  6. Step 6: Final answer
    x = 9,218.05

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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.