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Finding the Fourth Proportional to 30,542.21, 45,822.88 and 9,195.77

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Solution

The fourth proportional to 30,542.21, 45,822.88 and 9,195.77 is: 13,796.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,542.21 : 45,822.88 = 9,195.77 : x
  2. Step 2: Convert to fraction form
    30,542.21/45,822.88 = 9,195.77/x
  3. Step 3: Cross multiply
    30,542.21x = 45,822.88 × 9,195.77
  4. Step 4: Simplify right side
    30,542.21x = 421,376,665.22
  5. Step 5: Solve for x
    x = 421,376,665.22/30,542.21
  6. Step 6: Final answer
    x = 13,796.53

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1.5x scale

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.