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Finding the Fourth Proportional to 2,070.63, 3,106.53 and 684.09

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Solution

The fourth proportional to 2,070.63, 3,106.53 and 684.09 is: 1,026.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.63 : 3,106.53 = 684.09 : x
  2. Step 2: Convert to fraction form
    2,070.63/3,106.53 = 684.09/x
  3. Step 3: Cross multiply
    2,070.63x = 3,106.53 × 684.09
  4. Step 4: Simplify right side
    2,070.63x = 2,125,146.11
  5. Step 5: Solve for x
    x = 2,125,146.11/2,070.63
  6. Step 6: Final answer
    x = 1,026.33

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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.