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Finding the Fourth Proportional to 13,313.64, 18,372 and 7,345.30

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Solution

The fourth proportional to 13,313.64, 18,372 and 7,345.30 is: 10,136.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,313.64 : 18,372 = 7,345.30 : x
  2. Step 2: Convert to fraction form
    13,313.64/18,372 = 7,345.30/x
  3. Step 3: Cross multiply
    13,313.64x = 18,372 × 7,345.30
  4. Step 4: Simplify right side
    13,313.64x = 134,947,851.60
  5. Step 5: Solve for x
    x = 134,947,851.60/13,313.64
  6. Step 6: Final answer
    x = 10,136.06

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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.