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Finding the Fourth Proportional to 30,498, 42,093 and 17,929.68

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Solution

The fourth proportional to 30,498, 42,093 and 17,929.68 is: 24,746.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,498 : 42,093 = 17,929.68 : x
  2. Step 2: Convert to fraction form
    30,498/42,093 = 17,929.68/x
  3. Step 3: Cross multiply
    30,498x = 42,093 × 17,929.68
  4. Step 4: Simplify right side
    30,498x = 754,714,020.24
  5. Step 5: Solve for x
    x = 754,714,020.24/30,498
  6. Step 6: Final answer
    x = 24,746.34

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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.