Home / 1,227.60-1,840.04-815.72

Finding the Fourth Proportional to 1,227.60, 1,840.04 and 815.72

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Solution

The fourth proportional to 1,227.60, 1,840.04 and 815.72 is: 1,222.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.60 : 1,840.04 = 815.72 : x
  2. Step 2: Convert to fraction form
    1,227.60/1,840.04 = 815.72/x
  3. Step 3: Cross multiply
    1,227.60x = 1,840.04 × 815.72
  4. Step 4: Simplify right side
    1,227.60x = 1,500,944.15
  5. Step 5: Solve for x
    x = 1,500,944.15/1,227.60
  6. Step 6: Final answer
    x = 1,222.67

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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.