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Finding the Fourth Proportional to 20,582.39, 30,873.57 and 7,434.77

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Solution

The fourth proportional to 20,582.39, 30,873.57 and 7,434.77 is: 11,152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,582.39 : 30,873.57 = 7,434.77 : x
  2. Step 2: Convert to fraction form
    20,582.39/30,873.57 = 7,434.77/x
  3. Step 3: Cross multiply
    20,582.39x = 30,873.57 × 7,434.77
  4. Step 4: Simplify right side
    20,582.39x = 229,537,737.66
  5. Step 5: Solve for x
    x = 229,537,737.66/20,582.39
  6. Step 6: Final answer
    x = 11,152.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.