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Finding the Fourth Proportional to 30,894.78, 42,634.62 and 16,747.58

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Solution

The fourth proportional to 30,894.78, 42,634.62 and 16,747.58 is: 23,111.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,894.78 : 42,634.62 = 16,747.58 : x
  2. Step 2: Convert to fraction form
    30,894.78/42,634.62 = 16,747.58/x
  3. Step 3: Cross multiply
    30,894.78x = 42,634.62 × 16,747.58
  4. Step 4: Simplify right side
    30,894.78x = 714,026,709.22
  5. Step 5: Solve for x
    x = 714,026,709.22/30,894.78
  6. Step 6: Final answer
    x = 23,111.56

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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.