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Finding the Fourth Proportional to 30,570, 42,257.22 and 25,504.68

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Solution

The fourth proportional to 30,570, 42,257.22 and 25,504.68 is: 35,255.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,570 : 42,257.22 = 25,504.68 : x
  2. Step 2: Convert to fraction form
    30,570/42,257.22 = 25,504.68/x
  3. Step 3: Cross multiply
    30,570x = 42,257.22 × 25,504.68
  4. Step 4: Simplify right side
    30,570x = 1,077,756,873.79
  5. Step 5: Solve for x
    x = 1,077,756,873.79/30,570
  6. Step 6: Final answer
    x = 35,255.38

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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.