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Finding the Fourth Proportional to 30,380, 45,590.25 and 11,675.48

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Solution

The fourth proportional to 30,380, 45,590.25 and 11,675.48 is: 17,521.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,380 : 45,590.25 = 11,675.48 : x
  2. Step 2: Convert to fraction form
    30,380/45,590.25 = 11,675.48/x
  3. Step 3: Cross multiply
    30,380x = 45,590.25 × 11,675.48
  4. Step 4: Simplify right side
    30,380x = 532,288,052.07
  5. Step 5: Solve for x
    x = 532,288,052.07/30,380
  6. Step 6: Final answer
    x = 17,521.00

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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.