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Finding the Fourth Proportional to 2,170.86, 3,248.07 and 2,039.64

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Solution

The fourth proportional to 2,170.86, 3,248.07 and 2,039.64 is: 3,051.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.86 : 3,248.07 = 2,039.64 : x
  2. Step 2: Convert to fraction form
    2,170.86/3,248.07 = 2,039.64/x
  3. Step 3: Cross multiply
    2,170.86x = 3,248.07 × 2,039.64
  4. Step 4: Simplify right side
    2,170.86x = 6,624,893.49
  5. Step 5: Solve for x
    x = 6,624,893.49/2,170.86
  6. Step 6: Final answer
    x = 3,051.74

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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.