Home / 5,926.33-8,178-3,688.13

Finding the Fourth Proportional to 5,926.33, 8,178 and 3,688.13

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Solution

The fourth proportional to 5,926.33, 8,178 and 3,688.13 is: 5,089.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,926.33 : 8,178 = 3,688.13 : x
  2. Step 2: Convert to fraction form
    5,926.33/8,178 = 3,688.13/x
  3. Step 3: Cross multiply
    5,926.33x = 8,178 × 3,688.13
  4. Step 4: Simplify right side
    5,926.33x = 30,161,527.14
  5. Step 5: Solve for x
    x = 30,161,527.14/5,926.33
  6. Step 6: Final answer
    x = 5,089.41

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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.