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Finding the Fourth Proportional to 39,768, 59,652.36 and 12,066

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Solution

The fourth proportional to 39,768, 59,652.36 and 12,066 is: 18,099.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,768 : 59,652.36 = 12,066 : x
  2. Step 2: Convert to fraction form
    39,768/59,652.36 = 12,066/x
  3. Step 3: Cross multiply
    39,768x = 59,652.36 × 12,066
  4. Step 4: Simplify right side
    39,768x = 719,765,375.76
  5. Step 5: Solve for x
    x = 719,765,375.76/39,768
  6. Step 6: Final answer
    x = 18,099.11

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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.