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Finding the Fourth Proportional to 3,457.76, 5,186.79 and 992.93

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Solution

The fourth proportional to 3,457.76, 5,186.79 and 992.93 is: 1,489.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.76 : 5,186.79 = 992.93 : x
  2. Step 2: Convert to fraction form
    3,457.76/5,186.79 = 992.93/x
  3. Step 3: Cross multiply
    3,457.76x = 5,186.79 × 992.93
  4. Step 4: Simplify right side
    3,457.76x = 5,150,093.46
  5. Step 5: Solve for x
    x = 5,150,093.46/3,457.76
  6. Step 6: Final answer
    x = 1,489.43

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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.