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Finding the Fourth Proportional to 7,128.70, 10,705.20 and 4,674.40

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Solution

The fourth proportional to 7,128.70, 10,705.20 and 4,674.40 is: 7,019.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.70 : 10,705.20 = 4,674.40 : x
  2. Step 2: Convert to fraction form
    7,128.70/10,705.20 = 4,674.40/x
  3. Step 3: Cross multiply
    7,128.70x = 10,705.20 × 4,674.40
  4. Step 4: Simplify right side
    7,128.70x = 50,040,386.88
  5. Step 5: Solve for x
    x = 50,040,386.88/7,128.70
  6. Step 6: Final answer
    x = 7,019.57

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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.