Home / 1,540.24-2,135.30-1,457.11

Finding the Fourth Proportional to 1,540.24, 2,135.30 and 1,457.11

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Solution

The fourth proportional to 1,540.24, 2,135.30 and 1,457.11 is: 2,020.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.24 : 2,135.30 = 1,457.11 : x
  2. Step 2: Convert to fraction form
    1,540.24/2,135.30 = 1,457.11/x
  3. Step 3: Cross multiply
    1,540.24x = 2,135.30 × 1,457.11
  4. Step 4: Simplify right side
    1,540.24x = 3,111,366.98
  5. Step 5: Solve for x
    x = 3,111,366.98/1,540.24
  6. Step 6: Final answer
    x = 2,020.05

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.