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Finding the Fourth Proportional to 7,870.82, 11,803.47 and 2,322.69

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Solution

The fourth proportional to 7,870.82, 11,803.47 and 2,322.69 is: 3,483.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.82 : 11,803.47 = 2,322.69 : x
  2. Step 2: Convert to fraction form
    7,870.82/11,803.47 = 2,322.69/x
  3. Step 3: Cross multiply
    7,870.82x = 11,803.47 × 2,322.69
  4. Step 4: Simplify right side
    7,870.82x = 27,415,801.73
  5. Step 5: Solve for x
    x = 27,415,801.73/7,870.82
  6. Step 6: Final answer
    x = 3,483.22

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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.