Home / 3,130.25-4,695.51-821.75

Finding the Fourth Proportional to 3,130.25, 4,695.51 and 821.75

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Solution

The fourth proportional to 3,130.25, 4,695.51 and 821.75 is: 1,232.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.25 : 4,695.51 = 821.75 : x
  2. Step 2: Convert to fraction form
    3,130.25/4,695.51 = 821.75/x
  3. Step 3: Cross multiply
    3,130.25x = 4,695.51 × 821.75
  4. Step 4: Simplify right side
    3,130.25x = 3,858,535.34
  5. Step 5: Solve for x
    x = 3,858,535.34/3,130.25
  6. Step 6: Final answer
    x = 1,232.66

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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.