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Finding the Fourth Proportional to 30,443.90, 45,654.90 and 11,714.52

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Solution

The fourth proportional to 30,443.90, 45,654.90 and 11,714.52 is: 17,567.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,443.90 : 45,654.90 = 11,714.52 : x
  2. Step 2: Convert to fraction form
    30,443.90/45,654.90 = 11,714.52/x
  3. Step 3: Cross multiply
    30,443.90x = 45,654.90 × 11,714.52
  4. Step 4: Simplify right side
    30,443.90x = 534,825,239.15
  5. Step 5: Solve for x
    x = 534,825,239.15/30,443.90
  6. Step 6: Final answer
    x = 17,567.57

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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.