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Finding the Fourth Proportional to 5,675.28, 7,836.84 and 3,817.68

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Solution

The fourth proportional to 5,675.28, 7,836.84 and 3,817.68 is: 5,271.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.28 : 7,836.84 = 3,817.68 : x
  2. Step 2: Convert to fraction form
    5,675.28/7,836.84 = 3,817.68/x
  3. Step 3: Cross multiply
    5,675.28x = 7,836.84 × 3,817.68
  4. Step 4: Simplify right side
    5,675.28x = 29,918,547.33
  5. Step 5: Solve for x
    x = 29,918,547.33/5,675.28
  6. Step 6: Final answer
    x = 5,271.73

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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.