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Finding the Fourth Proportional to 39,482, 59,223 and 13,180.76

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Solution

The fourth proportional to 39,482, 59,223 and 13,180.76 is: 19,771.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,482 : 59,223 = 13,180.76 : x
  2. Step 2: Convert to fraction form
    39,482/59,223 = 13,180.76/x
  3. Step 3: Cross multiply
    39,482x = 59,223 × 13,180.76
  4. Step 4: Simplify right side
    39,482x = 780,604,149.48
  5. Step 5: Solve for x
    x = 780,604,149.48/39,482
  6. Step 6: Final answer
    x = 19,771.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.