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Finding the Fourth Proportional to 7,201.70, 10,814.70 and 4,747.40

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Solution

The fourth proportional to 7,201.70, 10,814.70 and 4,747.40 is: 7,129.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.70 : 10,814.70 = 4,747.40 : x
  2. Step 2: Convert to fraction form
    7,201.70/10,814.70 = 4,747.40/x
  3. Step 3: Cross multiply
    7,201.70x = 10,814.70 × 4,747.40
  4. Step 4: Simplify right side
    7,201.70x = 51,341,706.78
  5. Step 5: Solve for x
    x = 51,341,706.78/7,201.70
  6. Step 6: Final answer
    x = 7,129.11

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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.