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Finding the Fourth Proportional to 9,926, 13,698.08 and 5,449.74

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Solution

The fourth proportional to 9,926, 13,698.08 and 5,449.74 is: 7,520.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,926 : 13,698.08 = 5,449.74 : x
  2. Step 2: Convert to fraction form
    9,926/13,698.08 = 5,449.74/x
  3. Step 3: Cross multiply
    9,926x = 13,698.08 × 5,449.74
  4. Step 4: Simplify right side
    9,926x = 74,650,974.50
  5. Step 5: Solve for x
    x = 74,650,974.50/9,926
  6. Step 6: Final answer
    x = 7,520.75

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1.5x scale

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.