Home / 1,515.40-2,270.30-821.03

Finding the Fourth Proportional to 1,515.40, 2,270.30 and 821.03

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Solution

The fourth proportional to 1,515.40, 2,270.30 and 821.03 is: 1,230.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.40 : 2,270.30 = 821.03 : x
  2. Step 2: Convert to fraction form
    1,515.40/2,270.30 = 821.03/x
  3. Step 3: Cross multiply
    1,515.40x = 2,270.30 × 821.03
  4. Step 4: Simplify right side
    1,515.40x = 1,863,968.95
  5. Step 5: Solve for x
    x = 1,863,968.95/1,515.40
  6. Step 6: Final answer
    x = 1,230.02

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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.