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Finding the Fourth Proportional to 32,822.82, 45,268.74 and 20,865.60

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Solution

The fourth proportional to 32,822.82, 45,268.74 and 20,865.60 is: 28,777.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,822.82 : 45,268.74 = 20,865.60 : x
  2. Step 2: Convert to fraction form
    32,822.82/45,268.74 = 20,865.60/x
  3. Step 3: Cross multiply
    32,822.82x = 45,268.74 × 20,865.60
  4. Step 4: Simplify right side
    32,822.82x = 944,559,421.34
  5. Step 5: Solve for x
    x = 944,559,421.34/32,822.82
  6. Step 6: Final answer
    x = 28,777.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.