Home / 2,077.84-3,114.16-1,038.14

Finding the Fourth Proportional to 2,077.84, 3,114.16 and 1,038.14

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Solution

The fourth proportional to 2,077.84, 3,114.16 and 1,038.14 is: 1,555.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.84 : 3,114.16 = 1,038.14 : x
  2. Step 2: Convert to fraction form
    2,077.84/3,114.16 = 1,038.14/x
  3. Step 3: Cross multiply
    2,077.84x = 3,114.16 × 1,038.14
  4. Step 4: Simplify right side
    2,077.84x = 3,232,921.09
  5. Step 5: Solve for x
    x = 3,232,921.09/2,077.84
  6. Step 6: Final answer
    x = 1,555.90

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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.