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Finding the Fourth Proportional to 12,643.74, 18,966.05 and 4,745.45

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Solution

The fourth proportional to 12,643.74, 18,966.05 and 4,745.45 is: 7,118.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.74 : 18,966.05 = 4,745.45 : x
  2. Step 2: Convert to fraction form
    12,643.74/18,966.05 = 4,745.45/x
  3. Step 3: Cross multiply
    12,643.74x = 18,966.05 × 4,745.45
  4. Step 4: Simplify right side
    12,643.74x = 90,002,323.42
  5. Step 5: Solve for x
    x = 90,002,323.42/12,643.74
  6. Step 6: Final answer
    x = 7,118.33

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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.