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Finding the Fourth Proportional to 30,854.94, 42,581.43 and 20,250.78

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Solution

The fourth proportional to 30,854.94, 42,581.43 and 20,250.78 is: 27,947.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,854.94 : 42,581.43 = 20,250.78 : x
  2. Step 2: Convert to fraction form
    30,854.94/42,581.43 = 20,250.78/x
  3. Step 3: Cross multiply
    30,854.94x = 42,581.43 × 20,250.78
  4. Step 4: Simplify right side
    30,854.94x = 862,307,171.02
  5. Step 5: Solve for x
    x = 862,307,171.02/30,854.94
  6. Step 6: Final answer
    x = 27,947.13

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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.