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Finding the Fourth Proportional to 39,786, 54,904.74 and 23,020.08

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Solution

The fourth proportional to 39,786, 54,904.74 and 23,020.08 is: 31,767.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,786 : 54,904.74 = 23,020.08 : x
  2. Step 2: Convert to fraction form
    39,786/54,904.74 = 23,020.08/x
  3. Step 3: Cross multiply
    39,786x = 54,904.74 × 23,020.08
  4. Step 4: Simplify right side
    39,786x = 1,263,911,507.18
  5. Step 5: Solve for x
    x = 1,263,911,507.18/39,786
  6. Step 6: Final answer
    x = 31,767.75

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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.