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Finding the Fourth Proportional to 30,375.70, 41,918.35 and 16,946.95

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Solution

The fourth proportional to 30,375.70, 41,918.35 and 16,946.95 is: 23,386.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,375.70 : 41,918.35 = 16,946.95 : x
  2. Step 2: Convert to fraction form
    30,375.70/41,918.35 = 16,946.95/x
  3. Step 3: Cross multiply
    30,375.70x = 41,918.35 × 16,946.95
  4. Step 4: Simplify right side
    30,375.70x = 710,388,181.53
  5. Step 5: Solve for x
    x = 710,388,181.53/30,375.70
  6. Step 6: Final answer
    x = 23,386.73

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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.