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Finding the Fourth Proportional to 3,675.70, 5,072.25 and 2,742.58

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Solution

The fourth proportional to 3,675.70, 5,072.25 and 2,742.58 is: 3,784.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.70 : 5,072.25 = 2,742.58 : x
  2. Step 2: Convert to fraction form
    3,675.70/5,072.25 = 2,742.58/x
  3. Step 3: Cross multiply
    3,675.70x = 5,072.25 × 2,742.58
  4. Step 4: Simplify right side
    3,675.70x = 13,911,051.41
  5. Step 5: Solve for x
    x = 13,911,051.41/3,675.70
  6. Step 6: Final answer
    x = 3,784.60

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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.