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Finding the Fourth Proportional to 30,461.54, 42,016.12 and 19,865.52

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Solution

The fourth proportional to 30,461.54, 42,016.12 and 19,865.52 is: 27,400.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,461.54 : 42,016.12 = 19,865.52 : x
  2. Step 2: Convert to fraction form
    30,461.54/42,016.12 = 19,865.52/x
  3. Step 3: Cross multiply
    30,461.54x = 42,016.12 × 19,865.52
  4. Step 4: Simplify right side
    30,461.54x = 834,672,022.52
  5. Step 5: Solve for x
    x = 834,672,022.52/30,461.54
  6. Step 6: Final answer
    x = 27,400.85

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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.