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Finding the Fourth Proportional to 6,555.78, 9,821.04 and 5,161.74

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Solution

The fourth proportional to 6,555.78, 9,821.04 and 5,161.74 is: 7,732.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555.78 : 9,821.04 = 5,161.74 : x
  2. Step 2: Convert to fraction form
    6,555.78/9,821.04 = 5,161.74/x
  3. Step 3: Cross multiply
    6,555.78x = 9,821.04 × 5,161.74
  4. Step 4: Simplify right side
    6,555.78x = 50,693,655.01
  5. Step 5: Solve for x
    x = 50,693,655.01/6,555.78
  6. Step 6: Final answer
    x = 7,732.67

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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.