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Finding the Fourth Proportional to 6,980.44, 9,638.58 and 5,405.80

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Solution

The fourth proportional to 6,980.44, 9,638.58 and 5,405.80 is: 7,464.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.44 : 9,638.58 = 5,405.80 : x
  2. Step 2: Convert to fraction form
    6,980.44/9,638.58 = 5,405.80/x
  3. Step 3: Cross multiply
    6,980.44x = 9,638.58 × 5,405.80
  4. Step 4: Simplify right side
    6,980.44x = 52,104,235.76
  5. Step 5: Solve for x
    x = 52,104,235.76/6,980.44
  6. Step 6: Final answer
    x = 7,464.32

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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.