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Finding the Fourth Proportional to 30,535.86, 45,832.95 and 18,871.86

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Solution

The fourth proportional to 30,535.86, 45,832.95 and 18,871.86 is: 28,325.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,535.86 : 45,832.95 = 18,871.86 : x
  2. Step 2: Convert to fraction form
    30,535.86/45,832.95 = 18,871.86/x
  3. Step 3: Cross multiply
    30,535.86x = 45,832.95 × 18,871.86
  4. Step 4: Simplify right side
    30,535.86x = 864,953,015.79
  5. Step 5: Solve for x
    x = 864,953,015.79/30,535.86
  6. Step 6: Final answer
    x = 28,325.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.