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Finding the Fourth Proportional to 30,508.88, 42,113.59 and 22,977.09

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Solution

The fourth proportional to 30,508.88, 42,113.59 and 22,977.09 is: 31,716.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,508.88 : 42,113.59 = 22,977.09 : x
  2. Step 2: Convert to fraction form
    30,508.88/42,113.59 = 22,977.09/x
  3. Step 3: Cross multiply
    30,508.88x = 42,113.59 × 22,977.09
  4. Step 4: Simplify right side
    30,508.88x = 967,647,690.21
  5. Step 5: Solve for x
    x = 967,647,690.21/30,508.88
  6. Step 6: Final answer
    x = 31,716.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.