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Finding the Fourth Proportional to 8,655.60, 12,993.12 and 3,465.12

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Solution

The fourth proportional to 8,655.60, 12,993.12 and 3,465.12 is: 5,201.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,655.60 : 12,993.12 = 3,465.12 : x
  2. Step 2: Convert to fraction form
    8,655.60/12,993.12 = 3,465.12/x
  3. Step 3: Cross multiply
    8,655.60x = 12,993.12 × 3,465.12
  4. Step 4: Simplify right side
    8,655.60x = 45,022,719.97
  5. Step 5: Solve for x
    x = 45,022,719.97/8,655.60
  6. Step 6: Final answer
    x = 5,201.57

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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.