Home / 5,104.76-7,656.19-1,406.50

Finding the Fourth Proportional to 5,104.76, 7,656.19 and 1,406.50

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Solution

The fourth proportional to 5,104.76, 7,656.19 and 1,406.50 is: 2,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.76 : 7,656.19 = 1,406.50 : x
  2. Step 2: Convert to fraction form
    5,104.76/7,656.19 = 1,406.50/x
  3. Step 3: Cross multiply
    5,104.76x = 7,656.19 × 1,406.50
  4. Step 4: Simplify right side
    5,104.76x = 10,768,408.58
  5. Step 5: Solve for x
    x = 10,768,408.58/5,104.76
  6. Step 6: Final answer
    x = 2,109.49

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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.