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Finding the Fourth Proportional to 39,306, 54,241.47 and 21,401.34

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Solution

The fourth proportional to 39,306, 54,241.47 and 21,401.34 is: 29,533.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,306 : 54,241.47 = 21,401.34 : x
  2. Step 2: Convert to fraction form
    39,306/54,241.47 = 21,401.34/x
  3. Step 3: Cross multiply
    39,306x = 54,241.47 × 21,401.34
  4. Step 4: Simplify right side
    39,306x = 1,160,840,141.57
  5. Step 5: Solve for x
    x = 1,160,840,141.57/39,306
  6. Step 6: Final answer
    x = 29,533.41

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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.