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Finding the Fourth Proportional to 11,808.92, 16,296.40 and 6,431.40

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Solution

The fourth proportional to 11,808.92, 16,296.40 and 6,431.40 is: 8,875.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.92 : 16,296.40 = 6,431.40 : x
  2. Step 2: Convert to fraction form
    11,808.92/16,296.40 = 6,431.40/x
  3. Step 3: Cross multiply
    11,808.92x = 16,296.40 × 6,431.40
  4. Step 4: Simplify right side
    11,808.92x = 104,808,666.96
  5. Step 5: Solve for x
    x = 104,808,666.96/11,808.92
  6. Step 6: Final answer
    x = 8,875.38

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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.