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Finding the Fourth Proportional to 38,815, 53,564.70 and 22,051.24

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Solution

The fourth proportional to 38,815, 53,564.70 and 22,051.24 is: 30,430.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,815 : 53,564.70 = 22,051.24 : x
  2. Step 2: Convert to fraction form
    38,815/53,564.70 = 22,051.24/x
  3. Step 3: Cross multiply
    38,815x = 53,564.70 × 22,051.24
  4. Step 4: Simplify right side
    38,815x = 1,181,168,055.23
  5. Step 5: Solve for x
    x = 1,181,168,055.23/38,815
  6. Step 6: Final answer
    x = 30,430.71

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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.