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Finding the Fourth Proportional to 5,649.67, 7,794.07 and 3,972.16

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Solution

The fourth proportional to 5,649.67, 7,794.07 and 3,972.16 is: 5,479.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.67 : 7,794.07 = 3,972.16 : x
  2. Step 2: Convert to fraction form
    5,649.67/7,794.07 = 3,972.16/x
  3. Step 3: Cross multiply
    5,649.67x = 7,794.07 × 3,972.16
  4. Step 4: Simplify right side
    5,649.67x = 30,959,271.41
  5. Step 5: Solve for x
    x = 30,959,271.41/5,649.67
  6. Step 6: Final answer
    x = 5,479.84

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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.