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Finding the Fourth Proportional to 13,189.60, 19,813.20 and 9,301.60

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Solution

The fourth proportional to 13,189.60, 19,813.20 and 9,301.60 is: 13,972.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189.60 : 19,813.20 = 9,301.60 : x
  2. Step 2: Convert to fraction form
    13,189.60/19,813.20 = 9,301.60/x
  3. Step 3: Cross multiply
    13,189.60x = 19,813.20 × 9,301.60
  4. Step 4: Simplify right side
    13,189.60x = 184,294,461.12
  5. Step 5: Solve for x
    x = 184,294,461.12/13,189.60
  6. Step 6: Final answer
    x = 13,972.71

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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.