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Finding the Fourth Proportional to 3,638.70, 5,458.05 and 1,907.10

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Solution

The fourth proportional to 3,638.70, 5,458.05 and 1,907.10 is: 2,860.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.70 : 5,458.05 = 1,907.10 : x
  2. Step 2: Convert to fraction form
    3,638.70/5,458.05 = 1,907.10/x
  3. Step 3: Cross multiply
    3,638.70x = 5,458.05 × 1,907.10
  4. Step 4: Simplify right side
    3,638.70x = 10,409,047.16
  5. Step 5: Solve for x
    x = 10,409,047.16/3,638.70
  6. Step 6: Final answer
    x = 2,860.65

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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.