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Finding the Fourth Proportional to 7,707.87, 11,565.41 and 2,443.68

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Solution

The fourth proportional to 7,707.87, 11,565.41 and 2,443.68 is: 3,666.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.87 : 11,565.41 = 2,443.68 : x
  2. Step 2: Convert to fraction form
    7,707.87/11,565.41 = 2,443.68/x
  3. Step 3: Cross multiply
    7,707.87x = 11,565.41 × 2,443.68
  4. Step 4: Simplify right side
    7,707.87x = 28,262,148.89
  5. Step 5: Solve for x
    x = 28,262,148.89/7,707.87
  6. Step 6: Final answer
    x = 3,666.66

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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.