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Finding the Fourth Proportional to 19,615.97, 29,419.81 and 6,465.22

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Solution

The fourth proportional to 19,615.97, 29,419.81 and 6,465.22 is: 9,696.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,615.97 : 29,419.81 = 6,465.22 : x
  2. Step 2: Convert to fraction form
    19,615.97/29,419.81 = 6,465.22/x
  3. Step 3: Cross multiply
    19,615.97x = 29,419.81 × 6,465.22
  4. Step 4: Simplify right side
    19,615.97x = 190,205,454.30
  5. Step 5: Solve for x
    x = 190,205,454.30/19,615.97
  6. Step 6: Final answer
    x = 9,696.46

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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.