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Finding the Fourth Proportional to 13,485.24, 20,218.24 and 5,158.24

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Solution

The fourth proportional to 13,485.24, 20,218.24 and 5,158.24 is: 7,733.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,485.24 : 20,218.24 = 5,158.24 : x
  2. Step 2: Convert to fraction form
    13,485.24/20,218.24 = 5,158.24/x
  3. Step 3: Cross multiply
    13,485.24x = 20,218.24 × 5,158.24
  4. Step 4: Simplify right side
    13,485.24x = 104,290,534.30
  5. Step 5: Solve for x
    x = 104,290,534.30/13,485.24
  6. Step 6: Final answer
    x = 7,733.68

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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.