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Finding the Fourth Proportional to 2,170.94, 2,995.10 and 1,425.31

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Solution

The fourth proportional to 2,170.94, 2,995.10 and 1,425.31 is: 1,966.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.94 : 2,995.10 = 1,425.31 : x
  2. Step 2: Convert to fraction form
    2,170.94/2,995.10 = 1,425.31/x
  3. Step 3: Cross multiply
    2,170.94x = 2,995.10 × 1,425.31
  4. Step 4: Simplify right side
    2,170.94x = 4,268,945.98
  5. Step 5: Solve for x
    x = 4,268,945.98/2,170.94
  6. Step 6: Final answer
    x = 1,966.40

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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.