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Finding the Fourth Proportional to 30,656, 42,310.40 and 23,191.04

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Solution

The fourth proportional to 30,656, 42,310.40 and 23,191.04 is: 32,007.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,656 : 42,310.40 = 23,191.04 : x
  2. Step 2: Convert to fraction form
    30,656/42,310.40 = 23,191.04/x
  3. Step 3: Cross multiply
    30,656x = 42,310.40 × 23,191.04
  4. Step 4: Simplify right side
    30,656x = 981,222,178.82
  5. Step 5: Solve for x
    x = 981,222,178.82/30,656
  6. Step 6: Final answer
    x = 32,007.51

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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.