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Finding the Fourth Proportional to 10,879.60, 16,322.10 and 3,088.40

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Solution

The fourth proportional to 10,879.60, 16,322.10 and 3,088.40 is: 4,633.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,879.60 : 16,322.10 = 3,088.40 : x
  2. Step 2: Convert to fraction form
    10,879.60/16,322.10 = 3,088.40/x
  3. Step 3: Cross multiply
    10,879.60x = 16,322.10 × 3,088.40
  4. Step 4: Simplify right side
    10,879.60x = 50,409,173.64
  5. Step 5: Solve for x
    x = 50,409,173.64/10,879.60
  6. Step 6: Final answer
    x = 4,633.37

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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.