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Finding the Fourth Proportional to 2,845.90, 4,268.54 and 897.04

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Solution

The fourth proportional to 2,845.90, 4,268.54 and 897.04 is: 1,345.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,845.90 : 4,268.54 = 897.04 : x
  2. Step 2: Convert to fraction form
    2,845.90/4,268.54 = 897.04/x
  3. Step 3: Cross multiply
    2,845.90x = 4,268.54 × 897.04
  4. Step 4: Simplify right side
    2,845.90x = 3,829,051.12
  5. Step 5: Solve for x
    x = 3,829,051.12/2,845.90
  6. Step 6: Final answer
    x = 1,345.46

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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.