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Finding the Fourth Proportional to 3,020.70, 4,238.70 and 3,020.70

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Solution

The fourth proportional to 3,020.70, 4,238.70 and 3,020.70 is: 4,238.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.70 : 4,238.70 = 3,020.70 : x
  2. Step 2: Convert to fraction form
    3,020.70/4,238.70 = 3,020.70/x
  3. Step 3: Cross multiply
    3,020.70x = 4,238.70 × 3,020.70
  4. Step 4: Simplify right side
    3,020.70x = 12,803,841.09
  5. Step 5: Solve for x
    x = 12,803,841.09/3,020.70
  6. Step 6: Final answer
    x = 4,238.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.