Home / 1,769.84-2,442.58-1,023.79

Finding the Fourth Proportional to 1,769.84, 2,442.58 and 1,023.79

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Solution

The fourth proportional to 1,769.84, 2,442.58 and 1,023.79 is: 1,412.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.84 : 2,442.58 = 1,023.79 : x
  2. Step 2: Convert to fraction form
    1,769.84/2,442.58 = 1,023.79/x
  3. Step 3: Cross multiply
    1,769.84x = 2,442.58 × 1,023.79
  4. Step 4: Simplify right side
    1,769.84x = 2,500,683.86
  5. Step 5: Solve for x
    x = 2,500,683.86/1,769.84
  6. Step 6: Final answer
    x = 1,412.94

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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.