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Finding the Fourth Proportional to 30,989.43, 42,765.39 and 18,243

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Solution

The fourth proportional to 30,989.43, 42,765.39 and 18,243 is: 25,175.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,989.43 : 42,765.39 = 18,243 : x
  2. Step 2: Convert to fraction form
    30,989.43/42,765.39 = 18,243/x
  3. Step 3: Cross multiply
    30,989.43x = 42,765.39 × 18,243
  4. Step 4: Simplify right side
    30,989.43x = 780,169,009.77
  5. Step 5: Solve for x
    x = 780,169,009.77/30,989.43
  6. Step 6: Final answer
    x = 25,175.33

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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.