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Finding the Fourth Proportional to 7,836.40, 10,814.80 and 5,179.20

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Solution

The fourth proportional to 7,836.40, 10,814.80 and 5,179.20 is: 7,147.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.40 : 10,814.80 = 5,179.20 : x
  2. Step 2: Convert to fraction form
    7,836.40/10,814.80 = 5,179.20/x
  3. Step 3: Cross multiply
    7,836.40x = 10,814.80 × 5,179.20
  4. Step 4: Simplify right side
    7,836.40x = 56,012,012.16
  5. Step 5: Solve for x
    x = 56,012,012.16/7,836.40
  6. Step 6: Final answer
    x = 7,147.67

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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.