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Finding the Fourth Proportional to 11,454.62, 15,804.72 and 6,739.20

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Solution

The fourth proportional to 11,454.62, 15,804.72 and 6,739.20 is: 9,298.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,454.62 : 15,804.72 = 6,739.20 : x
  2. Step 2: Convert to fraction form
    11,454.62/15,804.72 = 6,739.20/x
  3. Step 3: Cross multiply
    11,454.62x = 15,804.72 × 6,739.20
  4. Step 4: Simplify right side
    11,454.62x = 106,511,169.02
  5. Step 5: Solve for x
    x = 106,511,169.02/11,454.62
  6. Step 6: Final answer
    x = 9,298.54

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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.