Home / 7,825.78-11,742.47-3,442.67

Finding the Fourth Proportional to 7,825.78, 11,742.47 and 3,442.67

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Solution

The fourth proportional to 7,825.78, 11,742.47 and 3,442.67 is: 5,165.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.78 : 11,742.47 = 3,442.67 : x
  2. Step 2: Convert to fraction form
    7,825.78/11,742.47 = 3,442.67/x
  3. Step 3: Cross multiply
    7,825.78x = 11,742.47 × 3,442.67
  4. Step 4: Simplify right side
    7,825.78x = 40,425,373.27
  5. Step 5: Solve for x
    x = 40,425,373.27/7,825.78
  6. Step 6: Final answer
    x = 5,165.67

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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.