Home / 3,420.56-5,130.84-823.50

Finding the Fourth Proportional to 3,420.56, 5,130.84 and 823.50

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Solution

The fourth proportional to 3,420.56, 5,130.84 and 823.50 is: 1,235.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.56 : 5,130.84 = 823.50 : x
  2. Step 2: Convert to fraction form
    3,420.56/5,130.84 = 823.50/x
  3. Step 3: Cross multiply
    3,420.56x = 5,130.84 × 823.50
  4. Step 4: Simplify right side
    3,420.56x = 4,225,249.83
  5. Step 5: Solve for x
    x = 4,225,249.83/3,420.56
  6. Step 6: Final answer
    x = 1,235.25

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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.