Home / 1,828.15-2,742.53-1,006.81

Finding the Fourth Proportional to 1,828.15, 2,742.53 and 1,006.81

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Solution

The fourth proportional to 1,828.15, 2,742.53 and 1,006.81 is: 1,510.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.15 : 2,742.53 = 1,006.81 : x
  2. Step 2: Convert to fraction form
    1,828.15/2,742.53 = 1,006.81/x
  3. Step 3: Cross multiply
    1,828.15x = 2,742.53 × 1,006.81
  4. Step 4: Simplify right side
    1,828.15x = 2,761,206.63
  5. Step 5: Solve for x
    x = 2,761,206.63/1,828.15
  6. Step 6: Final answer
    x = 1,510.38

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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.