Home / 5,104.20-7,656.34-1,406.35

Finding the Fourth Proportional to 5,104.20, 7,656.34 and 1,406.35

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Solution

The fourth proportional to 5,104.20, 7,656.34 and 1,406.35 is: 2,109.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.20 : 7,656.34 = 1,406.35 : x
  2. Step 2: Convert to fraction form
    5,104.20/7,656.34 = 1,406.35/x
  3. Step 3: Cross multiply
    5,104.20x = 7,656.34 × 1,406.35
  4. Step 4: Simplify right side
    5,104.20x = 10,767,493.76
  5. Step 5: Solve for x
    x = 10,767,493.76/5,104.20
  6. Step 6: Final answer
    x = 2,109.54

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1.5x scale

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.