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Finding the Fourth Proportional to 12,765.25, 19,148.01 and 3,531.25

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Solution

The fourth proportional to 12,765.25, 19,148.01 and 3,531.25 is: 5,296.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.25 : 19,148.01 = 3,531.25 : x
  2. Step 2: Convert to fraction form
    12,765.25/19,148.01 = 3,531.25/x
  3. Step 3: Cross multiply
    12,765.25x = 19,148.01 × 3,531.25
  4. Step 4: Simplify right side
    12,765.25x = 67,616,410.31
  5. Step 5: Solve for x
    x = 67,616,410.31/12,765.25
  6. Step 6: Final answer
    x = 5,296.91

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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.