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Finding the Fourth Proportional to 30,386.22, 41,933.98 and 17,638.44

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Solution

The fourth proportional to 30,386.22, 41,933.98 and 17,638.44 is: 24,341.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,386.22 : 41,933.98 = 17,638.44 : x
  2. Step 2: Convert to fraction form
    30,386.22/41,933.98 = 17,638.44/x
  3. Step 3: Cross multiply
    30,386.22x = 41,933.98 × 17,638.44
  4. Step 4: Simplify right side
    30,386.22x = 739,649,990.19
  5. Step 5: Solve for x
    x = 739,649,990.19/30,386.22
  6. Step 6: Final answer
    x = 24,341.63

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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.