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Finding the Fourth Proportional to 39,610, 54,661.80 and 21,946

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Solution

The fourth proportional to 39,610, 54,661.80 and 21,946 is: 30,285.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,610 : 54,661.80 = 21,946 : x
  2. Step 2: Convert to fraction form
    39,610/54,661.80 = 21,946/x
  3. Step 3: Cross multiply
    39,610x = 54,661.80 × 21,946
  4. Step 4: Simplify right side
    39,610x = 1,199,607,862.80
  5. Step 5: Solve for x
    x = 1,199,607,862.80/39,610
  6. Step 6: Final answer
    x = 30,285.48

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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.