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Finding the Fourth Proportional to 3,907.56, 5,390.10 and 3,382.68

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Solution

The fourth proportional to 3,907.56, 5,390.10 and 3,382.68 is: 4,666.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.56 : 5,390.10 = 3,382.68 : x
  2. Step 2: Convert to fraction form
    3,907.56/5,390.10 = 3,382.68/x
  3. Step 3: Cross multiply
    3,907.56x = 5,390.10 × 3,382.68
  4. Step 4: Simplify right side
    3,907.56x = 18,232,983.47
  5. Step 5: Solve for x
    x = 18,232,983.47/3,907.56
  6. Step 6: Final answer
    x = 4,666.08

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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.