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Finding the Fourth Proportional to 30,375.50, 45,583.50 and 11,670.98

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Solution

The fourth proportional to 30,375.50, 45,583.50 and 11,670.98 is: 17,514.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,375.50 : 45,583.50 = 11,670.98 : x
  2. Step 2: Convert to fraction form
    30,375.50/45,583.50 = 11,670.98/x
  3. Step 3: Cross multiply
    30,375.50x = 45,583.50 × 11,670.98
  4. Step 4: Simplify right side
    30,375.50x = 532,004,116.83
  5. Step 5: Solve for x
    x = 532,004,116.83/30,375.50
  6. Step 6: Final answer
    x = 17,514.25

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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.