Home / 2,077.40-3,116.10-1,428.32

Finding the Fourth Proportional to 2,077.40, 3,116.10 and 1,428.32

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Solution

The fourth proportional to 2,077.40, 3,116.10 and 1,428.32 is: 2,142.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.40 : 3,116.10 = 1,428.32 : x
  2. Step 2: Convert to fraction form
    2,077.40/3,116.10 = 1,428.32/x
  3. Step 3: Cross multiply
    2,077.40x = 3,116.10 × 1,428.32
  4. Step 4: Simplify right side
    2,077.40x = 4,450,787.95
  5. Step 5: Solve for x
    x = 4,450,787.95/2,077.40
  6. Step 6: Final answer
    x = 2,142.48

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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.