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Finding the Fourth Proportional to 30,135.87, 45,203.72 and 7,646.51

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Solution

The fourth proportional to 30,135.87, 45,203.72 and 7,646.51 is: 11,469.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,135.87 : 45,203.72 = 7,646.51 : x
  2. Step 2: Convert to fraction form
    30,135.87/45,203.72 = 7,646.51/x
  3. Step 3: Cross multiply
    30,135.87x = 45,203.72 × 7,646.51
  4. Step 4: Simplify right side
    30,135.87x = 345,650,618.73
  5. Step 5: Solve for x
    x = 345,650,618.73/30,135.87
  6. Step 6: Final answer
    x = 11,469.74

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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.