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Finding the Fourth Proportional to 38,824, 53,577.16 and 21,160

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Solution

The fourth proportional to 38,824, 53,577.16 and 21,160 is: 29,200.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,824 : 53,577.16 = 21,160 : x
  2. Step 2: Convert to fraction form
    38,824/53,577.16 = 21,160/x
  3. Step 3: Cross multiply
    38,824x = 53,577.16 × 21,160
  4. Step 4: Simplify right side
    38,824x = 1,133,692,705.60
  5. Step 5: Solve for x
    x = 1,133,692,705.60/38,824
  6. Step 6: Final answer
    x = 29,200.82

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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.