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Finding the Fourth Proportional to 13,602.40, 20,422.32 and 7,033.12

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Solution

The fourth proportional to 13,602.40, 20,422.32 and 7,033.12 is: 10,559.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.40 : 20,422.32 = 7,033.12 : x
  2. Step 2: Convert to fraction form
    13,602.40/20,422.32 = 7,033.12/x
  3. Step 3: Cross multiply
    13,602.40x = 20,422.32 × 7,033.12
  4. Step 4: Simplify right side
    13,602.40x = 143,632,627.24
  5. Step 5: Solve for x
    x = 143,632,627.24/13,602.40
  6. Step 6: Final answer
    x = 10,559.36

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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.