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Finding the Fourth Proportional to 30,410.40, 41,967 and 19,080.33

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Solution

The fourth proportional to 30,410.40, 41,967 and 19,080.33 is: 26,331.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,410.40 : 41,967 = 19,080.33 : x
  2. Step 2: Convert to fraction form
    30,410.40/41,967 = 19,080.33/x
  3. Step 3: Cross multiply
    30,410.40x = 41,967 × 19,080.33
  4. Step 4: Simplify right side
    30,410.40x = 800,744,209.11
  5. Step 5: Solve for x
    x = 800,744,209.11/30,410.40
  6. Step 6: Final answer
    x = 26,331.26

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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.