Home / 2,072.88-3,109.26-977.34

Finding the Fourth Proportional to 2,072.88, 3,109.26 and 977.34

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Solution

The fourth proportional to 2,072.88, 3,109.26 and 977.34 is: 1,465.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.88 : 3,109.26 = 977.34 : x
  2. Step 2: Convert to fraction form
    2,072.88/3,109.26 = 977.34/x
  3. Step 3: Cross multiply
    2,072.88x = 3,109.26 × 977.34
  4. Step 4: Simplify right side
    2,072.88x = 3,038,804.17
  5. Step 5: Solve for x
    x = 3,038,804.17/2,072.88
  6. Step 6: Final answer
    x = 1,465.98

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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.