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Finding the Fourth Proportional to 39,698.84, 54,784.16 and 21,794.14

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Solution

The fourth proportional to 39,698.84, 54,784.16 and 21,794.14 is: 30,075.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,698.84 : 54,784.16 = 21,794.14 : x
  2. Step 2: Convert to fraction form
    39,698.84/54,784.16 = 21,794.14/x
  3. Step 3: Cross multiply
    39,698.84x = 54,784.16 × 21,794.14
  4. Step 4: Simplify right side
    39,698.84x = 1,193,973,652.82
  5. Step 5: Solve for x
    x = 1,193,973,652.82/39,698.84
  6. Step 6: Final answer
    x = 30,075.78

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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.