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Finding the Fourth Proportional to 13,564.57, 20,378.12 and 13,004.08

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Solution

The fourth proportional to 13,564.57, 20,378.12 and 13,004.08 is: 19,536.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.57 : 20,378.12 = 13,004.08 : x
  2. Step 2: Convert to fraction form
    13,564.57/20,378.12 = 13,004.08/x
  3. Step 3: Cross multiply
    13,564.57x = 20,378.12 × 13,004.08
  4. Step 4: Simplify right side
    13,564.57x = 264,998,600.84
  5. Step 5: Solve for x
    x = 264,998,600.84/13,564.57
  6. Step 6: Final answer
    x = 19,536.09

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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.