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Finding the Fourth Proportional to 30,905.25, 42,649.25 and 16,758.11

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Solution

The fourth proportional to 30,905.25, 42,649.25 and 16,758.11 is: 23,126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,905.25 : 42,649.25 = 16,758.11 : x
  2. Step 2: Convert to fraction form
    30,905.25/42,649.25 = 16,758.11/x
  3. Step 3: Cross multiply
    30,905.25x = 42,649.25 × 16,758.11
  4. Step 4: Simplify right side
    30,905.25x = 714,720,525.88
  5. Step 5: Solve for x
    x = 714,720,525.88/30,905.25
  6. Step 6: Final answer
    x = 23,126.18

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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.