Home / 2,057.40-2,840.57-1,584.46

Finding the Fourth Proportional to 2,057.40, 2,840.57 and 1,584.46

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Solution

The fourth proportional to 2,057.40, 2,840.57 and 1,584.46 is: 2,187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.40 : 2,840.57 = 1,584.46 : x
  2. Step 2: Convert to fraction form
    2,057.40/2,840.57 = 1,584.46/x
  3. Step 3: Cross multiply
    2,057.40x = 2,840.57 × 1,584.46
  4. Step 4: Simplify right side
    2,057.40x = 4,500,771.11
  5. Step 5: Solve for x
    x = 4,500,771.11/2,057.40
  6. Step 6: Final answer
    x = 2,187.60

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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.