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Finding the Fourth Proportional to 30,555, 42,165.96 and 17,307

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Solution

The fourth proportional to 30,555, 42,165.96 and 17,307 is: 23,883.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,555 : 42,165.96 = 17,307 : x
  2. Step 2: Convert to fraction form
    30,555/42,165.96 = 17,307/x
  3. Step 3: Cross multiply
    30,555x = 42,165.96 × 17,307
  4. Step 4: Simplify right side
    30,555x = 729,766,269.72
  5. Step 5: Solve for x
    x = 729,766,269.72/30,555
  6. Step 6: Final answer
    x = 23,883.69

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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.