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Finding the Fourth Proportional to 13,505.70, 20,252.06 and 6,384.02

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Solution

The fourth proportional to 13,505.70, 20,252.06 and 6,384.02 is: 9,572.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,505.70 : 20,252.06 = 6,384.02 : x
  2. Step 2: Convert to fraction form
    13,505.70/20,252.06 = 6,384.02/x
  3. Step 3: Cross multiply
    13,505.70x = 20,252.06 × 6,384.02
  4. Step 4: Simplify right side
    13,505.70x = 129,289,446.84
  5. Step 5: Solve for x
    x = 129,289,446.84/13,505.70
  6. Step 6: Final answer
    x = 9,572.95

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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.