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Finding the Fourth Proportional to 39,620, 54,678.04 and 22,853

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Solution

The fourth proportional to 39,620, 54,678.04 and 22,853 is: 31,538.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,620 : 54,678.04 = 22,853 : x
  2. Step 2: Convert to fraction form
    39,620/54,678.04 = 22,853/x
  3. Step 3: Cross multiply
    39,620x = 54,678.04 × 22,853
  4. Step 4: Simplify right side
    39,620x = 1,249,557,248.12
  5. Step 5: Solve for x
    x = 1,249,557,248.12/39,620
  6. Step 6: Final answer
    x = 31,538.55

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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.