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Finding the Fourth Proportional to 9,940, 13,720.08 and 6,628

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Solution

The fourth proportional to 9,940, 13,720.08 and 6,628 is: 9,148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940 : 13,720.08 = 6,628 : x
  2. Step 2: Convert to fraction form
    9,940/13,720.08 = 6,628/x
  3. Step 3: Cross multiply
    9,940x = 13,720.08 × 6,628
  4. Step 4: Simplify right side
    9,940x = 90,936,690.24
  5. Step 5: Solve for x
    x = 90,936,690.24/9,940
  6. Step 6: Final answer
    x = 9,148.56

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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.