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Finding the Fourth Proportional to 7,061.76, 9,742.68 and 4,940.67

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Solution

The fourth proportional to 7,061.76, 9,742.68 and 4,940.67 is: 6,816.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.76 : 9,742.68 = 4,940.67 : x
  2. Step 2: Convert to fraction form
    7,061.76/9,742.68 = 4,940.67/x
  3. Step 3: Cross multiply
    7,061.76x = 9,742.68 × 4,940.67
  4. Step 4: Simplify right side
    7,061.76x = 48,135,366.80
  5. Step 5: Solve for x
    x = 48,135,366.80/7,061.76
  6. Step 6: Final answer
    x = 6,816.34

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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.