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Finding the Fourth Proportional to 7,765.59, 10,717.41 and 4,408.09

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Solution

The fourth proportional to 7,765.59, 10,717.41 and 4,408.09 is: 6,083.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.59 : 10,717.41 = 4,408.09 : x
  2. Step 2: Convert to fraction form
    7,765.59/10,717.41 = 4,408.09/x
  3. Step 3: Cross multiply
    7,765.59x = 10,717.41 × 4,408.09
  4. Step 4: Simplify right side
    7,765.59x = 47,243,307.85
  5. Step 5: Solve for x
    x = 47,243,307.85/7,765.59
  6. Step 6: Final answer
    x = 6,083.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.