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Finding the Fourth Proportional to 30,406.77, 41,958 and 16,978.59

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Solution

The fourth proportional to 30,406.77, 41,958 and 16,978.59 is: 23,428.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,406.77 : 41,958 = 16,978.59 : x
  2. Step 2: Convert to fraction form
    30,406.77/41,958 = 16,978.59/x
  3. Step 3: Cross multiply
    30,406.77x = 41,958 × 16,978.59
  4. Step 4: Simplify right side
    30,406.77x = 712,387,679.22
  5. Step 5: Solve for x
    x = 712,387,679.22/30,406.77
  6. Step 6: Final answer
    x = 23,428.59

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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.