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Finding the Fourth Proportional to 13,208.67, 19,813.01 and 5,313.60

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Solution

The fourth proportional to 13,208.67, 19,813.01 and 5,313.60 is: 7,970.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,208.67 : 19,813.01 = 5,313.60 : x
  2. Step 2: Convert to fraction form
    13,208.67/19,813.01 = 5,313.60/x
  3. Step 3: Cross multiply
    13,208.67x = 19,813.01 × 5,313.60
  4. Step 4: Simplify right side
    13,208.67x = 105,278,383.37
  5. Step 5: Solve for x
    x = 105,278,383.37/13,208.67
  6. Step 6: Final answer
    x = 7,970.40

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1.5x scale

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.