Home / 2,038.20-2,811-1,507.24

Finding the Fourth Proportional to 2,038.20, 2,811 and 1,507.24

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Solution

The fourth proportional to 2,038.20, 2,811 and 1,507.24 is: 2,078.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.20 : 2,811 = 1,507.24 : x
  2. Step 2: Convert to fraction form
    2,038.20/2,811 = 1,507.24/x
  3. Step 3: Cross multiply
    2,038.20x = 2,811 × 1,507.24
  4. Step 4: Simplify right side
    2,038.20x = 4,236,851.64
  5. Step 5: Solve for x
    x = 4,236,851.64/2,038.20
  6. Step 6: Final answer
    x = 2,078.73

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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.