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Finding the Fourth Proportional to 5,398.66, 7,448.60 and 3,409.86

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Solution

The fourth proportional to 5,398.66, 7,448.60 and 3,409.86 is: 4,704.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.66 : 7,448.60 = 3,409.86 : x
  2. Step 2: Convert to fraction form
    5,398.66/7,448.60 = 3,409.86/x
  3. Step 3: Cross multiply
    5,398.66x = 7,448.60 × 3,409.86
  4. Step 4: Simplify right side
    5,398.66x = 25,398,683.20
  5. Step 5: Solve for x
    x = 25,398,683.20/5,398.66
  6. Step 6: Final answer
    x = 4,704.63

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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.