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Finding the Fourth Proportional to 30,245.88, 41,731.80 and 18,897.78

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Solution

The fourth proportional to 30,245.88, 41,731.80 and 18,897.78 is: 26,074.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,245.88 : 41,731.80 = 18,897.78 : x
  2. Step 2: Convert to fraction form
    30,245.88/41,731.80 = 18,897.78/x
  3. Step 3: Cross multiply
    30,245.88x = 41,731.80 × 18,897.78
  4. Step 4: Simplify right side
    30,245.88x = 788,638,375.40
  5. Step 5: Solve for x
    x = 788,638,375.40/30,245.88
  6. Step 6: Final answer
    x = 26,074.24

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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.