Home / 5,106.32-7,659.64-1,408.52

Finding the Fourth Proportional to 5,106.32, 7,659.64 and 1,408.52

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Solution

The fourth proportional to 5,106.32, 7,659.64 and 1,408.52 is: 2,112.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.32 : 7,659.64 = 1,408.52 : x
  2. Step 2: Convert to fraction form
    5,106.32/7,659.64 = 1,408.52/x
  3. Step 3: Cross multiply
    5,106.32x = 7,659.64 × 1,408.52
  4. Step 4: Simplify right side
    5,106.32x = 10,788,756.13
  5. Step 5: Solve for x
    x = 10,788,756.13/5,106.32
  6. Step 6: Final answer
    x = 2,112.82

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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.