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Finding the Fourth Proportional to 30,641.81, 42,286.79 and 17,212.77

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Solution

The fourth proportional to 30,641.81, 42,286.79 and 17,212.77 is: 23,754.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,641.81 : 42,286.79 = 17,212.77 : x
  2. Step 2: Convert to fraction form
    30,641.81/42,286.79 = 17,212.77/x
  3. Step 3: Cross multiply
    30,641.81x = 42,286.79 × 17,212.77
  4. Step 4: Simplify right side
    30,641.81x = 727,872,704.24
  5. Step 5: Solve for x
    x = 727,872,704.24/30,641.81
  6. Step 6: Final answer
    x = 23,754.24

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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.