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Finding the Fourth Proportional to 11,765.16, 16,235.64 and 6,459.66

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Solution

The fourth proportional to 11,765.16, 16,235.64 and 6,459.66 is: 8,914.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.16 : 16,235.64 = 6,459.66 : x
  2. Step 2: Convert to fraction form
    11,765.16/16,235.64 = 6,459.66/x
  3. Step 3: Cross multiply
    11,765.16x = 16,235.64 × 6,459.66
  4. Step 4: Simplify right side
    11,765.16x = 104,876,714.28
  5. Step 5: Solve for x
    x = 104,876,714.28/11,765.16
  6. Step 6: Final answer
    x = 8,914.18

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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.