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Finding the Fourth Proportional to 20,922.51, 31,357.08 and 9,804.68

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Solution

The fourth proportional to 20,922.51, 31,357.08 and 9,804.68 is: 14,694.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,922.51 : 31,357.08 = 9,804.68 : x
  2. Step 2: Convert to fraction form
    20,922.51/31,357.08 = 9,804.68/x
  3. Step 3: Cross multiply
    20,922.51x = 31,357.08 × 9,804.68
  4. Step 4: Simplify right side
    20,922.51x = 307,445,978.35
  5. Step 5: Solve for x
    x = 307,445,978.35/20,922.51
  6. Step 6: Final answer
    x = 14,694.51

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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.