Home / 3,130.40-4,695.36-821.84

Finding the Fourth Proportional to 3,130.40, 4,695.36 and 821.84

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Solution

The fourth proportional to 3,130.40, 4,695.36 and 821.84 is: 1,232.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.40 : 4,695.36 = 821.84 : x
  2. Step 2: Convert to fraction form
    3,130.40/4,695.36 = 821.84/x
  3. Step 3: Cross multiply
    3,130.40x = 4,695.36 × 821.84
  4. Step 4: Simplify right side
    3,130.40x = 3,858,834.66
  5. Step 5: Solve for x
    x = 3,858,834.66/3,130.40
  6. Step 6: Final answer
    x = 1,232.70

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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.