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Finding the Fourth Proportional to 39,783, 54,900.94 and 21,878.13

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Solution

The fourth proportional to 39,783, 54,900.94 and 21,878.13 is: 30,192.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,783 : 54,900.94 = 21,878.13 : x
  2. Step 2: Convert to fraction form
    39,783/54,900.94 = 21,878.13/x
  3. Step 3: Cross multiply
    39,783x = 54,900.94 × 21,878.13
  4. Step 4: Simplify right side
    39,783x = 1,201,129,902.44
  5. Step 5: Solve for x
    x = 1,201,129,902.44/39,783
  6. Step 6: Final answer
    x = 30,192.04

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1.5x scale

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.