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Finding the Fourth Proportional to 2,070.63, 3,104.91 and 664.86

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Solution

The fourth proportional to 2,070.63, 3,104.91 and 664.86 is: 996.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.63 : 3,104.91 = 664.86 : x
  2. Step 2: Convert to fraction form
    2,070.63/3,104.91 = 664.86/x
  3. Step 3: Cross multiply
    2,070.63x = 3,104.91 × 664.86
  4. Step 4: Simplify right side
    2,070.63x = 2,064,330.46
  5. Step 5: Solve for x
    x = 2,064,330.46/2,070.63
  6. Step 6: Final answer
    x = 996.96

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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.