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Finding the Fourth Proportional to 29,978.96, 41,385.92 and 18,652.10

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Solution

The fourth proportional to 29,978.96, 41,385.92 and 18,652.10 is: 25,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978.96 : 41,385.92 = 18,652.10 : x
  2. Step 2: Convert to fraction form
    29,978.96/41,385.92 = 18,652.10/x
  3. Step 3: Cross multiply
    29,978.96x = 41,385.92 × 18,652.10
  4. Step 4: Simplify right side
    29,978.96x = 771,934,018.24
  5. Step 5: Solve for x
    x = 771,934,018.24/29,978.96
  6. Step 6: Final answer
    x = 25,749.20

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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.