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Finding the Fourth Proportional to 20,993.68, 31,492.19 and 6,953.14

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Solution

The fourth proportional to 20,993.68, 31,492.19 and 6,953.14 is: 10,430.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,993.68 : 31,492.19 = 6,953.14 : x
  2. Step 2: Convert to fraction form
    20,993.68/31,492.19 = 6,953.14/x
  3. Step 3: Cross multiply
    20,993.68x = 31,492.19 × 6,953.14
  4. Step 4: Simplify right side
    20,993.68x = 218,969,662.72
  5. Step 5: Solve for x
    x = 218,969,662.72/20,993.68
  6. Step 6: Final answer
    x = 10,430.27

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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.