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Finding the Fourth Proportional to 31,036.59, 42,824.01 and 20,297.21

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Solution

The fourth proportional to 31,036.59, 42,824.01 and 20,297.21 is: 28,005.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,036.59 : 42,824.01 = 20,297.21 : x
  2. Step 2: Convert to fraction form
    31,036.59/42,824.01 = 20,297.21/x
  3. Step 3: Cross multiply
    31,036.59x = 42,824.01 × 20,297.21
  4. Step 4: Simplify right side
    31,036.59x = 869,207,816.95
  5. Step 5: Solve for x
    x = 869,207,816.95/31,036.59
  6. Step 6: Final answer
    x = 28,005.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.