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Finding the Fourth Proportional to 13,156, 19,734 and 3,428

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Solution

The fourth proportional to 13,156, 19,734 and 3,428 is: 5,142

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,156 : 19,734 = 3,428 : x
  2. Step 2: Convert to fraction form
    13,156/19,734 = 3,428/x
  3. Step 3: Cross multiply
    13,156x = 19,734 × 3,428
  4. Step 4: Simplify right side
    13,156x = 67,648,152
  5. Step 5: Solve for x
    x = 67,648,152/13,156
  6. Step 6: Final answer
    x = 5,142

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.