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Finding the Fourth Proportional to 13,338.60, 20,007.90 and 3,477.87

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Solution

The fourth proportional to 13,338.60, 20,007.90 and 3,477.87 is: 5,216.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,338.60 : 20,007.90 = 3,477.87 : x
  2. Step 2: Convert to fraction form
    13,338.60/20,007.90 = 3,477.87/x
  3. Step 3: Cross multiply
    13,338.60x = 20,007.90 × 3,477.87
  4. Step 4: Simplify right side
    13,338.60x = 69,584,875.17
  5. Step 5: Solve for x
    x = 69,584,875.17/13,338.60
  6. Step 6: Final answer
    x = 5,216.81

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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.