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Finding the Fourth Proportional to 20,648.51, 30,971.51 and 7,322.16

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Solution

The fourth proportional to 20,648.51, 30,971.51 and 7,322.16 is: 10,982.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,648.51 : 30,971.51 = 7,322.16 : x
  2. Step 2: Convert to fraction form
    20,648.51/30,971.51 = 7,322.16/x
  3. Step 3: Cross multiply
    20,648.51x = 30,971.51 × 7,322.16
  4. Step 4: Simplify right side
    20,648.51x = 226,778,315.05
  5. Step 5: Solve for x
    x = 226,778,315.05/20,648.51
  6. Step 6: Final answer
    x = 10,982.79

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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.