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Finding the Fourth Proportional to 30,419.16, 41,978.64 and 16,991.61

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Solution

The fourth proportional to 30,419.16, 41,978.64 and 16,991.61 is: 23,448.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,419.16 : 41,978.64 = 16,991.61 : x
  2. Step 2: Convert to fraction form
    30,419.16/41,978.64 = 16,991.61/x
  3. Step 3: Cross multiply
    30,419.16x = 41,978.64 × 16,991.61
  4. Step 4: Simplify right side
    30,419.16x = 713,284,679.21
  5. Step 5: Solve for x
    x = 713,284,679.21/30,419.16
  6. Step 6: Final answer
    x = 23,448.53

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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.