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Finding the Fourth Proportional to 7,561, 10,434.90 and 4,249

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Solution

The fourth proportional to 7,561, 10,434.90 and 4,249 is: 5,864.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561 : 10,434.90 = 4,249 : x
  2. Step 2: Convert to fraction form
    7,561/10,434.90 = 4,249/x
  3. Step 3: Cross multiply
    7,561x = 10,434.90 × 4,249
  4. Step 4: Simplify right side
    7,561x = 44,337,890.10
  5. Step 5: Solve for x
    x = 44,337,890.10/7,561
  6. Step 6: Final answer
    x = 5,864.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.