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Finding the Fourth Proportional to 13,807.69, 20,697.18 and 6,406.03

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Solution

The fourth proportional to 13,807.69, 20,697.18 and 6,406.03 is: 9,602.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.69 : 20,697.18 = 6,406.03 : x
  2. Step 2: Convert to fraction form
    13,807.69/20,697.18 = 6,406.03/x
  3. Step 3: Cross multiply
    13,807.69x = 20,697.18 × 6,406.03
  4. Step 4: Simplify right side
    13,807.69x = 132,586,756.00
  5. Step 5: Solve for x
    x = 132,586,756.00/13,807.69
  6. Step 6: Final answer
    x = 9,602.39

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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.