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Finding the Fourth Proportional to 32,824, 45,297.12 and 17,920

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Solution

The fourth proportional to 32,824, 45,297.12 and 17,920 is: 24,729.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,824 : 45,297.12 = 17,920 : x
  2. Step 2: Convert to fraction form
    32,824/45,297.12 = 17,920/x
  3. Step 3: Cross multiply
    32,824x = 45,297.12 × 17,920
  4. Step 4: Simplify right side
    32,824x = 811,724,390.40
  5. Step 5: Solve for x
    x = 811,724,390.40/32,824
  6. Step 6: Final answer
    x = 24,729.60

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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.