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Finding the Fourth Proportional to 30,026, 41,445.60 and 18,848

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Solution

The fourth proportional to 30,026, 41,445.60 and 18,848 is: 26,016.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,026 : 41,445.60 = 18,848 : x
  2. Step 2: Convert to fraction form
    30,026/41,445.60 = 18,848/x
  3. Step 3: Cross multiply
    30,026x = 41,445.60 × 18,848
  4. Step 4: Simplify right side
    30,026x = 781,166,668.80
  5. Step 5: Solve for x
    x = 781,166,668.80/30,026
  6. Step 6: Final answer
    x = 26,016.34

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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.