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Finding the Fourth Proportional to 2,701.09, 4,051.63 and 649.09

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Solution

The fourth proportional to 2,701.09, 4,051.63 and 649.09 is: 973.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.09 : 4,051.63 = 649.09 : x
  2. Step 2: Convert to fraction form
    2,701.09/4,051.63 = 649.09/x
  3. Step 3: Cross multiply
    2,701.09x = 4,051.63 × 649.09
  4. Step 4: Simplify right side
    2,701.09x = 2,629,852.26
  5. Step 5: Solve for x
    x = 2,629,852.26/2,701.09
  6. Step 6: Final answer
    x = 973.63

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Similar ratio
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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.