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Finding the Fourth Proportional to 20,271.29, 30,406.93 and 7,120.64

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Solution

The fourth proportional to 20,271.29, 30,406.93 and 7,120.64 is: 10,680.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,271.29 : 30,406.93 = 7,120.64 : x
  2. Step 2: Convert to fraction form
    20,271.29/30,406.93 = 7,120.64/x
  3. Step 3: Cross multiply
    20,271.29x = 30,406.93 × 7,120.64
  4. Step 4: Simplify right side
    20,271.29x = 216,516,860.25
  5. Step 5: Solve for x
    x = 216,516,860.25/20,271.29
  6. Step 6: Final answer
    x = 10,680.96

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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.