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Finding the Fourth Proportional to 8,765.64, 13,148.01 and 3,218.55

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Solution

The fourth proportional to 8,765.64, 13,148.01 and 3,218.55 is: 4,827.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,765.64 : 13,148.01 = 3,218.55 : x
  2. Step 2: Convert to fraction form
    8,765.64/13,148.01 = 3,218.55/x
  3. Step 3: Cross multiply
    8,765.64x = 13,148.01 × 3,218.55
  4. Step 4: Simplify right side
    8,765.64x = 42,317,564.82
  5. Step 5: Solve for x
    x = 42,317,564.82/8,765.64
  6. Step 6: Final answer
    x = 4,827.67

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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.