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Finding the Fourth Proportional to 39,097, 53,953.86 and 21,433

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Solution

The fourth proportional to 39,097, 53,953.86 and 21,433 is: 29,577.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,097 : 53,953.86 = 21,433 : x
  2. Step 2: Convert to fraction form
    39,097/53,953.86 = 21,433/x
  3. Step 3: Cross multiply
    39,097x = 53,953.86 × 21,433
  4. Step 4: Simplify right side
    39,097x = 1,156,393,081.38
  5. Step 5: Solve for x
    x = 1,156,393,081.38/39,097
  6. Step 6: Final answer
    x = 29,577.54

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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.