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Finding the Fourth Proportional to 4,649.81, 6,978.56 and 4,613.36

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Solution

The fourth proportional to 4,649.81, 6,978.56 and 4,613.36 is: 6,923.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.81 : 6,978.56 = 4,613.36 : x
  2. Step 2: Convert to fraction form
    4,649.81/6,978.56 = 4,613.36/x
  3. Step 3: Cross multiply
    4,649.81x = 6,978.56 × 4,613.36
  4. Step 4: Simplify right side
    4,649.81x = 32,194,551.60
  5. Step 5: Solve for x
    x = 32,194,551.60/4,649.81
  6. Step 6: Final answer
    x = 6,923.85

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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.