Home / 2,971.28-4,097.28-2,075.83

Finding the Fourth Proportional to 2,971.28, 4,097.28 and 2,075.83

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Solution

The fourth proportional to 2,971.28, 4,097.28 and 2,075.83 is: 2,862.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.28 : 4,097.28 = 2,075.83 : x
  2. Step 2: Convert to fraction form
    2,971.28/4,097.28 = 2,075.83/x
  3. Step 3: Cross multiply
    2,971.28x = 4,097.28 × 2,075.83
  4. Step 4: Simplify right side
    2,971.28x = 8,505,254.28
  5. Step 5: Solve for x
    x = 8,505,254.28/2,971.28
  6. Step 6: Final answer
    x = 2,862.49

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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.