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Finding the Fourth Proportional to 13,643.76, 20,438.88 and 7,074.24

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Solution

The fourth proportional to 13,643.76, 20,438.88 and 7,074.24 is: 10,597.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.76 : 20,438.88 = 7,074.24 : x
  2. Step 2: Convert to fraction form
    13,643.76/20,438.88 = 7,074.24/x
  3. Step 3: Cross multiply
    13,643.76x = 20,438.88 × 7,074.24
  4. Step 4: Simplify right side
    13,643.76x = 144,589,542.45
  5. Step 5: Solve for x
    x = 144,589,542.45/13,643.76
  6. Step 6: Final answer
    x = 10,597.49

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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.