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Finding the Fourth Proportional to 2,070.63, 2,857.15 and 1,174.32

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Solution

The fourth proportional to 2,070.63, 2,857.15 and 1,174.32 is: 1,620.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.63 : 2,857.15 = 1,174.32 : x
  2. Step 2: Convert to fraction form
    2,070.63/2,857.15 = 1,174.32/x
  3. Step 3: Cross multiply
    2,070.63x = 2,857.15 × 1,174.32
  4. Step 4: Simplify right side
    2,070.63x = 3,355,208.39
  5. Step 5: Solve for x
    x = 3,355,208.39/2,070.63
  6. Step 6: Final answer
    x = 1,620.38

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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.