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Finding the Fourth Proportional to 11,712.64, 16,163.20 and 6,407.28

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Solution

The fourth proportional to 11,712.64, 16,163.20 and 6,407.28 is: 8,841.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.64 : 16,163.20 = 6,407.28 : x
  2. Step 2: Convert to fraction form
    11,712.64/16,163.20 = 6,407.28/x
  3. Step 3: Cross multiply
    11,712.64x = 16,163.20 × 6,407.28
  4. Step 4: Simplify right side
    11,712.64x = 103,562,148.10
  5. Step 5: Solve for x
    x = 103,562,148.10/11,712.64
  6. Step 6: Final answer
    x = 8,841.91

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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.