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Finding the Fourth Proportional to 30,497.80, 42,093.52 and 18,565

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Solution

The fourth proportional to 30,497.80, 42,093.52 and 18,565 is: 25,623.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,497.80 : 42,093.52 = 18,565 : x
  2. Step 2: Convert to fraction form
    30,497.80/42,093.52 = 18,565/x
  3. Step 3: Cross multiply
    30,497.80x = 42,093.52 × 18,565
  4. Step 4: Simplify right side
    30,497.80x = 781,466,198.80
  5. Step 5: Solve for x
    x = 781,466,198.80/30,497.80
  6. Step 6: Final answer
    x = 25,623.69

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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.