Home / 2,130.52-3,193.62-830.20

Finding the Fourth Proportional to 2,130.52, 3,193.62 and 830.20

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Solution

The fourth proportional to 2,130.52, 3,193.62 and 830.20 is: 1,244.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.52 : 3,193.62 = 830.20 : x
  2. Step 2: Convert to fraction form
    2,130.52/3,193.62 = 830.20/x
  3. Step 3: Cross multiply
    2,130.52x = 3,193.62 × 830.20
  4. Step 4: Simplify right side
    2,130.52x = 2,651,343.32
  5. Step 5: Solve for x
    x = 2,651,343.32/2,130.52
  6. Step 6: Final answer
    x = 1,244.46

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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.