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Finding the Fourth Proportional to 2,250.99, 3,106.49 and 1,256.51

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Solution

The fourth proportional to 2,250.99, 3,106.49 and 1,256.51 is: 1,734.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250.99 : 3,106.49 = 1,256.51 : x
  2. Step 2: Convert to fraction form
    2,250.99/3,106.49 = 1,256.51/x
  3. Step 3: Cross multiply
    2,250.99x = 3,106.49 × 1,256.51
  4. Step 4: Simplify right side
    2,250.99x = 3,903,337.23
  5. Step 5: Solve for x
    x = 3,903,337.23/2,250.99
  6. Step 6: Final answer
    x = 1,734.05

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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.