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Finding the Fourth Proportional to 38,913, 53,700.16 and 22,146

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Solution

The fourth proportional to 38,913, 53,700.16 and 22,146 is: 30,561.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,913 : 53,700.16 = 22,146 : x
  2. Step 2: Convert to fraction form
    38,913/53,700.16 = 22,146/x
  3. Step 3: Cross multiply
    38,913x = 53,700.16 × 22,146
  4. Step 4: Simplify right side
    38,913x = 1,189,243,743.36
  5. Step 5: Solve for x
    x = 1,189,243,743.36/38,913
  6. Step 6: Final answer
    x = 30,561.61

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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.