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Finding the Fourth Proportional to 62,850, 94,275 and 19,074

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Solution

The fourth proportional to 62,850, 94,275 and 19,074 is: 28,611

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,850 : 94,275 = 19,074 : x
  2. Step 2: Convert to fraction form
    62,850/94,275 = 19,074/x
  3. Step 3: Cross multiply
    62,850x = 94,275 × 19,074
  4. Step 4: Simplify right side
    62,850x = 1,798,201,350
  5. Step 5: Solve for x
    x = 1,798,201,350/62,850
  6. Step 6: Final answer
    x = 28,611

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.