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Finding the Fourth Proportional to 7,840, 11,762.44 and 2,293.46

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Solution

The fourth proportional to 7,840, 11,762.44 and 2,293.46 is: 3,440.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840 : 11,762.44 = 2,293.46 : x
  2. Step 2: Convert to fraction form
    7,840/11,762.44 = 2,293.46/x
  3. Step 3: Cross multiply
    7,840x = 11,762.44 × 2,293.46
  4. Step 4: Simplify right side
    7,840x = 26,976,685.64
  5. Step 5: Solve for x
    x = 26,976,685.64/7,840
  6. Step 6: Final answer
    x = 3,440.90

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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.