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Finding the Fourth Proportional to 2,157.76, 3,239.21 and 2,069.74

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Solution

The fourth proportional to 2,157.76, 3,239.21 and 2,069.74 is: 3,107.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.76 : 3,239.21 = 2,069.74 : x
  2. Step 2: Convert to fraction form
    2,157.76/3,239.21 = 2,069.74/x
  3. Step 3: Cross multiply
    2,157.76x = 3,239.21 × 2,069.74
  4. Step 4: Simplify right side
    2,157.76x = 6,704,322.51
  5. Step 5: Solve for x
    x = 6,704,322.51/2,157.76
  6. Step 6: Final answer
    x = 3,107.08

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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.