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Finding the Fourth Proportional to 39,038, 53,872.44 and 22,270.64

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Solution

The fourth proportional to 39,038, 53,872.44 and 22,270.64 is: 30,733.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,038 : 53,872.44 = 22,270.64 : x
  2. Step 2: Convert to fraction form
    39,038/53,872.44 = 22,270.64/x
  3. Step 3: Cross multiply
    39,038x = 53,872.44 × 22,270.64
  4. Step 4: Simplify right side
    39,038x = 1,199,773,717.16
  5. Step 5: Solve for x
    x = 1,199,773,717.16/39,038
  6. Step 6: Final answer
    x = 30,733.48

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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.