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Finding the Fourth Proportional to 7,582.86, 11,415.23 and 6,819.95

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Solution

The fourth proportional to 7,582.86, 11,415.23 and 6,819.95 is: 10,266.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.86 : 11,415.23 = 6,819.95 : x
  2. Step 2: Convert to fraction form
    7,582.86/11,415.23 = 6,819.95/x
  3. Step 3: Cross multiply
    7,582.86x = 11,415.23 × 6,819.95
  4. Step 4: Simplify right side
    7,582.86x = 77,851,282.41
  5. Step 5: Solve for x
    x = 77,851,282.41/7,582.86
  6. Step 6: Final answer
    x = 10,266.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.