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Finding the Fourth Proportional to 9,791.40, 14,688.84 and 3,219.40

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Solution

The fourth proportional to 9,791.40, 14,688.84 and 3,219.40 is: 4,829.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.40 : 14,688.84 = 3,219.40 : x
  2. Step 2: Convert to fraction form
    9,791.40/14,688.84 = 3,219.40/x
  3. Step 3: Cross multiply
    9,791.40x = 14,688.84 × 3,219.40
  4. Step 4: Simplify right side
    9,791.40x = 47,289,251.50
  5. Step 5: Solve for x
    x = 47,289,251.50/9,791.40
  6. Step 6: Final answer
    x = 4,829.67

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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.