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Finding the Fourth Proportional to 40,824, 56,341.44 and 25,920

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Solution

The fourth proportional to 40,824, 56,341.44 and 25,920 is: 35,772.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,824 : 56,341.44 = 25,920 : x
  2. Step 2: Convert to fraction form
    40,824/56,341.44 = 25,920/x
  3. Step 3: Cross multiply
    40,824x = 56,341.44 × 25,920
  4. Step 4: Simplify right side
    40,824x = 1,460,370,124.80
  5. Step 5: Solve for x
    x = 1,460,370,124.80/40,824
  6. Step 6: Final answer
    x = 35,772.34

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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.