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Finding the Fourth Proportional to 8,652, 12,986.64 and 6,319.20

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Solution

The fourth proportional to 8,652, 12,986.64 and 6,319.20 is: 9,485.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,652 : 12,986.64 = 6,319.20 : x
  2. Step 2: Convert to fraction form
    8,652/12,986.64 = 6,319.20/x
  3. Step 3: Cross multiply
    8,652x = 12,986.64 × 6,319.20
  4. Step 4: Simplify right side
    8,652x = 82,065,175.49
  5. Step 5: Solve for x
    x = 82,065,175.49/8,652
  6. Step 6: Final answer
    x = 9,485.11

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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.