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Finding the Fourth Proportional to 13,710.38, 18,920.67 and 8,408.12

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Solution

The fourth proportional to 13,710.38, 18,920.67 and 8,408.12 is: 11,603.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.38 : 18,920.67 = 8,408.12 : x
  2. Step 2: Convert to fraction form
    13,710.38/18,920.67 = 8,408.12/x
  3. Step 3: Cross multiply
    13,710.38x = 18,920.67 × 8,408.12
  4. Step 4: Simplify right side
    13,710.38x = 159,087,263.84
  5. Step 5: Solve for x
    x = 159,087,263.84/13,710.38
  6. Step 6: Final answer
    x = 11,603.42

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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.