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Finding the Fourth Proportional to 2,970.14, 4,097.07 and 1,891.41

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Solution

The fourth proportional to 2,970.14, 4,097.07 and 1,891.41 is: 2,609.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.14 : 4,097.07 = 1,891.41 : x
  2. Step 2: Convert to fraction form
    2,970.14/4,097.07 = 1,891.41/x
  3. Step 3: Cross multiply
    2,970.14x = 4,097.07 × 1,891.41
  4. Step 4: Simplify right side
    2,970.14x = 7,749,239.17
  5. Step 5: Solve for x
    x = 7,749,239.17/2,970.14
  6. Step 6: Final answer
    x = 2,609.05

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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.