Home / 3,460.16-5,189.92-1,408

Finding the Fourth Proportional to 3,460.16, 5,189.92 and 1,408

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Solution

The fourth proportional to 3,460.16, 5,189.92 and 1,408 is: 2,111.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.16 : 5,189.92 = 1,408 : x
  2. Step 2: Convert to fraction form
    3,460.16/5,189.92 = 1,408/x
  3. Step 3: Cross multiply
    3,460.16x = 5,189.92 × 1,408
  4. Step 4: Simplify right side
    3,460.16x = 7,307,407.36
  5. Step 5: Solve for x
    x = 7,307,407.36/3,460.16
  6. Step 6: Final answer
    x = 2,111.87

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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.