Home / 2,162.64-2,984.48-1,231.14

Finding the Fourth Proportional to 2,162.64, 2,984.48 and 1,231.14

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Solution

The fourth proportional to 2,162.64, 2,984.48 and 1,231.14 is: 1,698.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.64 : 2,984.48 = 1,231.14 : x
  2. Step 2: Convert to fraction form
    2,162.64/2,984.48 = 1,231.14/x
  3. Step 3: Cross multiply
    2,162.64x = 2,984.48 × 1,231.14
  4. Step 4: Simplify right side
    2,162.64x = 3,674,312.71
  5. Step 5: Solve for x
    x = 3,674,312.71/2,162.64
  6. Step 6: Final answer
    x = 1,698.99

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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.