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Finding the Fourth Proportional to 30,698.31, 42,361.25 and 17,266.89

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Solution

The fourth proportional to 30,698.31, 42,361.25 and 17,266.89 is: 23,826.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,698.31 : 42,361.25 = 17,266.89 : x
  2. Step 2: Convert to fraction form
    30,698.31/42,361.25 = 17,266.89/x
  3. Step 3: Cross multiply
    30,698.31x = 42,361.25 × 17,266.89
  4. Step 4: Simplify right side
    30,698.31x = 731,446,957.68
  5. Step 5: Solve for x
    x = 731,446,957.68/30,698.31
  6. Step 6: Final answer
    x = 23,826.95

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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.