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Finding the Fourth Proportional to 12,452, 17,183.76 and 7,484

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Solution

The fourth proportional to 12,452, 17,183.76 and 7,484 is: 10,327.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,452 : 17,183.76 = 7,484 : x
  2. Step 2: Convert to fraction form
    12,452/17,183.76 = 7,484/x
  3. Step 3: Cross multiply
    12,452x = 17,183.76 × 7,484
  4. Step 4: Simplify right side
    12,452x = 128,603,259.84
  5. Step 5: Solve for x
    x = 128,603,259.84/12,452
  6. Step 6: Final answer
    x = 10,327.92

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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.