Home / 2,089.24-3,135.30-1,357

Finding the Fourth Proportional to 2,089.24, 3,135.30 and 1,357

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Solution

The fourth proportional to 2,089.24, 3,135.30 and 1,357 is: 2,036.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.24 : 3,135.30 = 1,357 : x
  2. Step 2: Convert to fraction form
    2,089.24/3,135.30 = 1,357/x
  3. Step 3: Cross multiply
    2,089.24x = 3,135.30 × 1,357
  4. Step 4: Simplify right side
    2,089.24x = 4,254,602.10
  5. Step 5: Solve for x
    x = 4,254,602.10/2,089.24
  6. Step 6: Final answer
    x = 2,036.44

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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.