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Finding the Fourth Proportional to 2,645.64, 3,970.26 and 914.25

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Solution

The fourth proportional to 2,645.64, 3,970.26 and 914.25 is: 1,372.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.64 : 3,970.26 = 914.25 : x
  2. Step 2: Convert to fraction form
    2,645.64/3,970.26 = 914.25/x
  3. Step 3: Cross multiply
    2,645.64x = 3,970.26 × 914.25
  4. Step 4: Simplify right side
    2,645.64x = 3,629,810.21
  5. Step 5: Solve for x
    x = 3,629,810.21/2,645.64
  6. Step 6: Final answer
    x = 1,372.00

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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.