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Finding the Fourth Proportional to 7,840.20, 11,762.20 and 2,293.32

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Solution

The fourth proportional to 7,840.20, 11,762.20 and 2,293.32 is: 3,440.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.20 : 11,762.20 = 2,293.32 : x
  2. Step 2: Convert to fraction form
    7,840.20/11,762.20 = 2,293.32/x
  3. Step 3: Cross multiply
    7,840.20x = 11,762.20 × 2,293.32
  4. Step 4: Simplify right side
    7,840.20x = 26,974,488.50
  5. Step 5: Solve for x
    x = 26,974,488.50/7,840.20
  6. Step 6: Final answer
    x = 3,440.54

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1.5x scale

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.