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Finding the Fourth Proportional to 9,995.40, 14,993.91 and 3,419.82

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Solution

The fourth proportional to 9,995.40, 14,993.91 and 3,419.82 is: 5,130.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,995.40 : 14,993.91 = 3,419.82 : x
  2. Step 2: Convert to fraction form
    9,995.40/14,993.91 = 3,419.82/x
  3. Step 3: Cross multiply
    9,995.40x = 14,993.91 × 3,419.82
  4. Step 4: Simplify right side
    9,995.40x = 51,276,473.30
  5. Step 5: Solve for x
    x = 51,276,473.30/9,995.40
  6. Step 6: Final answer
    x = 5,130.01

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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.