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Finding the Fourth Proportional to 6,442.54, 8,889.93 and 3,609.69

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Solution

The fourth proportional to 6,442.54, 8,889.93 and 3,609.69 is: 4,980.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.54 : 8,889.93 = 3,609.69 : x
  2. Step 2: Convert to fraction form
    6,442.54/8,889.93 = 3,609.69/x
  3. Step 3: Cross multiply
    6,442.54x = 8,889.93 × 3,609.69
  4. Step 4: Simplify right side
    6,442.54x = 32,089,872.94
  5. Step 5: Solve for x
    x = 32,089,872.94/6,442.54
  6. Step 6: Final answer
    x = 4,980.94

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Half scale
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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.