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Finding the Fourth Proportional to 3,907.49, 5,847.26 and 3,646.80

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Solution

The fourth proportional to 3,907.49, 5,847.26 and 3,646.80 is: 5,457.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.49 : 5,847.26 = 3,646.80 : x
  2. Step 2: Convert to fraction form
    3,907.49/5,847.26 = 3,646.80/x
  3. Step 3: Cross multiply
    3,907.49x = 5,847.26 × 3,646.80
  4. Step 4: Simplify right side
    3,907.49x = 21,323,769.53
  5. Step 5: Solve for x
    x = 21,323,769.53/3,907.49
  6. Step 6: Final answer
    x = 5,457.16

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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.