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Finding the Fourth Proportional to 19,268, 28,888.72 and 7,582.56

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Solution

The fourth proportional to 19,268, 28,888.72 and 7,582.56 is: 11,368.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,268 : 28,888.72 = 7,582.56 : x
  2. Step 2: Convert to fraction form
    19,268/28,888.72 = 7,582.56/x
  3. Step 3: Cross multiply
    19,268x = 28,888.72 × 7,582.56
  4. Step 4: Simplify right side
    19,268x = 219,050,452.72
  5. Step 5: Solve for x
    x = 219,050,452.72/19,268
  6. Step 6: Final answer
    x = 11,368.61

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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.