Home / 1,585.07-2,378.01-1,412.94

Finding the Fourth Proportional to 1,585.07, 2,378.01 and 1,412.94

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Solution

The fourth proportional to 1,585.07, 2,378.01 and 1,412.94 is: 2,119.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.07 : 2,378.01 = 1,412.94 : x
  2. Step 2: Convert to fraction form
    1,585.07/2,378.01 = 1,412.94/x
  3. Step 3: Cross multiply
    1,585.07x = 2,378.01 × 1,412.94
  4. Step 4: Simplify right side
    1,585.07x = 3,359,991.72
  5. Step 5: Solve for x
    x = 3,359,991.72/1,585.07
  6. Step 6: Final answer
    x = 2,119.78

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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.