Home / 2,040.40-2,815.84-1,542.16

Finding the Fourth Proportional to 2,040.40, 2,815.84 and 1,542.16

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Solution

The fourth proportional to 2,040.40, 2,815.84 and 1,542.16 is: 2,128.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.40 : 2,815.84 = 1,542.16 : x
  2. Step 2: Convert to fraction form
    2,040.40/2,815.84 = 1,542.16/x
  3. Step 3: Cross multiply
    2,040.40x = 2,815.84 × 1,542.16
  4. Step 4: Simplify right side
    2,040.40x = 4,342,475.81
  5. Step 5: Solve for x
    x = 4,342,475.81/2,040.40
  6. Step 6: Final answer
    x = 2,128.25

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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.