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Finding the Fourth Proportional to 30,700.80, 45,977.22 and 17,513.19

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Solution

The fourth proportional to 30,700.80, 45,977.22 and 17,513.19 is: 26,227.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,700.80 : 45,977.22 = 17,513.19 : x
  2. Step 2: Convert to fraction form
    30,700.80/45,977.22 = 17,513.19/x
  3. Step 3: Cross multiply
    30,700.80x = 45,977.22 × 17,513.19
  4. Step 4: Simplify right side
    30,700.80x = 805,207,789.53
  5. Step 5: Solve for x
    x = 805,207,789.53/30,700.80
  6. Step 6: Final answer
    x = 26,227.58

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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.