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Finding the Fourth Proportional to 8,681.67, 13,018.86 and 3,415.86

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Solution

The fourth proportional to 8,681.67, 13,018.86 and 3,415.86 is: 5,122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.67 : 13,018.86 = 3,415.86 : x
  2. Step 2: Convert to fraction form
    8,681.67/13,018.86 = 3,415.86/x
  3. Step 3: Cross multiply
    8,681.67x = 13,018.86 × 3,415.86
  4. Step 4: Simplify right side
    8,681.67x = 44,470,603.12
  5. Step 5: Solve for x
    x = 44,470,603.12/8,681.67
  6. Step 6: Final answer
    x = 5,122.36

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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.