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Finding the Fourth Proportional to 30,642.12, 42,286.05 and 17,904.06

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Solution

The fourth proportional to 30,642.12, 42,286.05 and 17,904.06 is: 24,707.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,642.12 : 42,286.05 = 17,904.06 : x
  2. Step 2: Convert to fraction form
    30,642.12/42,286.05 = 17,904.06/x
  3. Step 3: Cross multiply
    30,642.12x = 42,286.05 × 17,904.06
  4. Step 4: Simplify right side
    30,642.12x = 757,091,976.36
  5. Step 5: Solve for x
    x = 757,091,976.36/30,642.12
  6. Step 6: Final answer
    x = 24,707.56

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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.