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Finding the Fourth Proportional to 30,360, 41,897.12 and 17,112

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Solution

The fourth proportional to 30,360, 41,897.12 and 17,112 is: 23,614.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,360 : 41,897.12 = 17,112 : x
  2. Step 2: Convert to fraction form
    30,360/41,897.12 = 17,112/x
  3. Step 3: Cross multiply
    30,360x = 41,897.12 × 17,112
  4. Step 4: Simplify right side
    30,360x = 716,943,517.44
  5. Step 5: Solve for x
    x = 716,943,517.44/30,360
  6. Step 6: Final answer
    x = 23,614.74

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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.