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Finding the Fourth Proportional to 30,589.80, 42,214.41 and 16,977.48

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Solution

The fourth proportional to 30,589.80, 42,214.41 and 16,977.48 is: 23,429.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,589.80 : 42,214.41 = 16,977.48 : x
  2. Step 2: Convert to fraction form
    30,589.80/42,214.41 = 16,977.48/x
  3. Step 3: Cross multiply
    30,589.80x = 42,214.41 × 16,977.48
  4. Step 4: Simplify right side
    30,589.80x = 716,694,301.49
  5. Step 5: Solve for x
    x = 716,694,301.49/30,589.80
  6. Step 6: Final answer
    x = 23,429.19

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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.