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Finding the Fourth Proportional to 2,903.50, 4,010.14 and 1,970.38

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Solution

The fourth proportional to 2,903.50, 4,010.14 and 1,970.38 is: 2,721.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.50 : 4,010.14 = 1,970.38 : x
  2. Step 2: Convert to fraction form
    2,903.50/4,010.14 = 1,970.38/x
  3. Step 3: Cross multiply
    2,903.50x = 4,010.14 × 1,970.38
  4. Step 4: Simplify right side
    2,903.50x = 7,901,499.65
  5. Step 5: Solve for x
    x = 7,901,499.65/2,903.50
  6. Step 6: Final answer
    x = 2,721.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.