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Finding the Fourth Proportional to 13,260, 18,299.70 and 7,671

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Solution

The fourth proportional to 13,260, 18,299.70 and 7,671 is: 10,586.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,260 : 18,299.70 = 7,671 : x
  2. Step 2: Convert to fraction form
    13,260/18,299.70 = 7,671/x
  3. Step 3: Cross multiply
    13,260x = 18,299.70 × 7,671
  4. Step 4: Simplify right side
    13,260x = 140,376,998.70
  5. Step 5: Solve for x
    x = 140,376,998.70/13,260
  6. Step 6: Final answer
    x = 10,586.50

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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.