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Finding the Fourth Proportional to 9,891.32, 14,828.34 and 3,739.64

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Solution

The fourth proportional to 9,891.32, 14,828.34 and 3,739.64 is: 5,606.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.32 : 14,828.34 = 3,739.64 : x
  2. Step 2: Convert to fraction form
    9,891.32/14,828.34 = 3,739.64/x
  3. Step 3: Cross multiply
    9,891.32x = 14,828.34 × 3,739.64
  4. Step 4: Simplify right side
    9,891.32x = 55,452,653.40
  5. Step 5: Solve for x
    x = 55,452,653.40/9,891.32
  6. Step 6: Final answer
    x = 5,606.19

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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.