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Finding the Fourth Proportional to 32,878, 45,372.36 and 17,974

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Solution

The fourth proportional to 32,878, 45,372.36 and 17,974 is: 24,804.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,878 : 45,372.36 = 17,974 : x
  2. Step 2: Convert to fraction form
    32,878/45,372.36 = 17,974/x
  3. Step 3: Cross multiply
    32,878x = 45,372.36 × 17,974
  4. Step 4: Simplify right side
    32,878x = 815,522,798.64
  5. Step 5: Solve for x
    x = 815,522,798.64/32,878
  6. Step 6: Final answer
    x = 24,804.51

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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.