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Finding the Fourth Proportional to 3,415.68, 4,711.68 and 3,185.28

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Solution

The fourth proportional to 3,415.68, 4,711.68 and 3,185.28 is: 4,393.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.68 : 4,711.68 = 3,185.28 : x
  2. Step 2: Convert to fraction form
    3,415.68/4,711.68 = 3,185.28/x
  3. Step 3: Cross multiply
    3,415.68x = 4,711.68 × 3,185.28
  4. Step 4: Simplify right side
    3,415.68x = 15,008,020.07
  5. Step 5: Solve for x
    x = 15,008,020.07/3,415.68
  6. Step 6: Final answer
    x = 4,393.86

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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.