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Finding the Fourth Proportional to 8,289.60, 11,441.60 and 5,148.16

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Solution

The fourth proportional to 8,289.60, 11,441.60 and 5,148.16 is: 7,105.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.60 : 11,441.60 = 5,148.16 : x
  2. Step 2: Convert to fraction form
    8,289.60/11,441.60 = 5,148.16/x
  3. Step 3: Cross multiply
    8,289.60x = 11,441.60 × 5,148.16
  4. Step 4: Simplify right side
    8,289.60x = 58,903,187.46
  5. Step 5: Solve for x
    x = 58,903,187.46/8,289.60
  6. Step 6: Final answer
    x = 7,105.67

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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.