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Finding the Fourth Proportional to 12,732, 19,099.08 and 3,498

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Solution

The fourth proportional to 12,732, 19,099.08 and 3,498 is: 5,247.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,732 : 19,099.08 = 3,498 : x
  2. Step 2: Convert to fraction form
    12,732/19,099.08 = 3,498/x
  3. Step 3: Cross multiply
    12,732x = 19,099.08 × 3,498
  4. Step 4: Simplify right side
    12,732x = 66,808,581.84
  5. Step 5: Solve for x
    x = 66,808,581.84/12,732
  6. Step 6: Final answer
    x = 5,247.30

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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.