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Finding the Fourth Proportional to 9,991.17, 14,987.70 and 3,419.10

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Solution

The fourth proportional to 9,991.17, 14,987.70 and 3,419.10 is: 5,128.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.17 : 14,987.70 = 3,419.10 : x
  2. Step 2: Convert to fraction form
    9,991.17/14,987.70 = 3,419.10/x
  3. Step 3: Cross multiply
    9,991.17x = 14,987.70 × 3,419.10
  4. Step 4: Simplify right side
    9,991.17x = 51,244,445.07
  5. Step 5: Solve for x
    x = 51,244,445.07/9,991.17
  6. Step 6: Final answer
    x = 5,128.97

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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.