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Finding the Fourth Proportional to 8,931, 13,396.50 and 3,459

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Solution

The fourth proportional to 8,931, 13,396.50 and 3,459 is: 5,188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,931 : 13,396.50 = 3,459 : x
  2. Step 2: Convert to fraction form
    8,931/13,396.50 = 3,459/x
  3. Step 3: Cross multiply
    8,931x = 13,396.50 × 3,459
  4. Step 4: Simplify right side
    8,931x = 46,338,493.50
  5. Step 5: Solve for x
    x = 46,338,493.50/8,931
  6. Step 6: Final answer
    x = 5,188.50

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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.