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Finding the Fourth Proportional to 2,109.45, 3,164.16 and 570.45

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Solution

The fourth proportional to 2,109.45, 3,164.16 and 570.45 is: 855.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.45 : 3,164.16 = 570.45 : x
  2. Step 2: Convert to fraction form
    2,109.45/3,164.16 = 570.45/x
  3. Step 3: Cross multiply
    2,109.45x = 3,164.16 × 570.45
  4. Step 4: Simplify right side
    2,109.45x = 1,804,979.25
  5. Step 5: Solve for x
    x = 1,804,979.25/2,109.45
  6. Step 6: Final answer
    x = 855.67

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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.