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Finding the Fourth Proportional to 3,098.81, 4,648.72 and 1,018.21

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Solution

The fourth proportional to 3,098.81, 4,648.72 and 1,018.21 is: 1,527.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.81 : 4,648.72 = 1,018.21 : x
  2. Step 2: Convert to fraction form
    3,098.81/4,648.72 = 1,018.21/x
  3. Step 3: Cross multiply
    3,098.81x = 4,648.72 × 1,018.21
  4. Step 4: Simplify right side
    3,098.81x = 4,733,373.19
  5. Step 5: Solve for x
    x = 4,733,373.19/3,098.81
  6. Step 6: Final answer
    x = 1,527.48

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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.