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Finding the Fourth Proportional to 7,870.92, 11,808.43 and 2,940.60

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Solution

The fourth proportional to 7,870.92, 11,808.43 and 2,940.60 is: 4,411.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.92 : 11,808.43 = 2,940.60 : x
  2. Step 2: Convert to fraction form
    7,870.92/11,808.43 = 2,940.60/x
  3. Step 3: Cross multiply
    7,870.92x = 11,808.43 × 2,940.60
  4. Step 4: Simplify right side
    7,870.92x = 34,723,869.26
  5. Step 5: Solve for x
    x = 34,723,869.26/7,870.92
  6. Step 6: Final answer
    x = 4,411.67

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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.