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Finding the Fourth Proportional to 3,347.60, 5,019.36 and 1,398.08

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Solution

The fourth proportional to 3,347.60, 5,019.36 and 1,398.08 is: 2,096.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,347.60 : 5,019.36 = 1,398.08 : x
  2. Step 2: Convert to fraction form
    3,347.60/5,019.36 = 1,398.08/x
  3. Step 3: Cross multiply
    3,347.60x = 5,019.36 × 1,398.08
  4. Step 4: Simplify right side
    3,347.60x = 7,017,466.83
  5. Step 5: Solve for x
    x = 7,017,466.83/3,347.60
  6. Step 6: Final answer
    x = 2,096.27

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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.