Home / 1,520.12-2,097.70-857.03

Finding the Fourth Proportional to 1,520.12, 2,097.70 and 857.03

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Solution

The fourth proportional to 1,520.12, 2,097.70 and 857.03 is: 1,182.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.12 : 2,097.70 = 857.03 : x
  2. Step 2: Convert to fraction form
    1,520.12/2,097.70 = 857.03/x
  3. Step 3: Cross multiply
    1,520.12x = 2,097.70 × 857.03
  4. Step 4: Simplify right side
    1,520.12x = 1,797,791.00
  5. Step 5: Solve for x
    x = 1,797,791.00/1,520.12
  6. Step 6: Final answer
    x = 1,182.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.