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Finding the Fourth Proportional to 30,642.81, 45,976.98 and 15,855.05

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Solution

The fourth proportional to 30,642.81, 45,976.98 and 15,855.05 is: 23,789.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,642.81 : 45,976.98 = 15,855.05 : x
  2. Step 2: Convert to fraction form
    30,642.81/45,976.98 = 15,855.05/x
  3. Step 3: Cross multiply
    30,642.81x = 45,976.98 × 15,855.05
  4. Step 4: Simplify right side
    30,642.81x = 728,967,086.86
  5. Step 5: Solve for x
    x = 728,967,086.86/30,642.81
  6. Step 6: Final answer
    x = 23,789.17

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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.