Home / 2,170.14-3,254.46-709.02

Finding the Fourth Proportional to 2,170.14, 3,254.46 and 709.02

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Solution

The fourth proportional to 2,170.14, 3,254.46 and 709.02 is: 1,063.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.14 : 3,254.46 = 709.02 : x
  2. Step 2: Convert to fraction form
    2,170.14/3,254.46 = 709.02/x
  3. Step 3: Cross multiply
    2,170.14x = 3,254.46 × 709.02
  4. Step 4: Simplify right side
    2,170.14x = 2,307,477.23
  5. Step 5: Solve for x
    x = 2,307,477.23/2,170.14
  6. Step 6: Final answer
    x = 1,063.28

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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.