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Finding the Fourth Proportional to 13,804.32, 20,714.94 and 5,488.32

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Solution

The fourth proportional to 13,804.32, 20,714.94 and 5,488.32 is: 8,235.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.32 : 20,714.94 = 5,488.32 : x
  2. Step 2: Convert to fraction form
    13,804.32/20,714.94 = 5,488.32/x
  3. Step 3: Cross multiply
    13,804.32x = 20,714.94 × 5,488.32
  4. Step 4: Simplify right side
    13,804.32x = 113,690,219.50
  5. Step 5: Solve for x
    x = 113,690,219.50/13,804.32
  6. Step 6: Final answer
    x = 8,235.84

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1.5x scale

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.