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Finding the Fourth Proportional to 10,798.55, 16,161.25 and 6,641.20

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Solution

The fourth proportional to 10,798.55, 16,161.25 and 6,641.20 is: 9,939.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798.55 : 16,161.25 = 6,641.20 : x
  2. Step 2: Convert to fraction form
    10,798.55/16,161.25 = 6,641.20/x
  3. Step 3: Cross multiply
    10,798.55x = 16,161.25 × 6,641.20
  4. Step 4: Simplify right side
    10,798.55x = 107,330,093.50
  5. Step 5: Solve for x
    x = 107,330,093.50/10,798.55
  6. Step 6: Final answer
    x = 9,939.31

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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.