Home / 1,823.14-2,515.78-1,077.06

Finding the Fourth Proportional to 1,823.14, 2,515.78 and 1,077.06

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Solution

The fourth proportional to 1,823.14, 2,515.78 and 1,077.06 is: 1,486.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.14 : 2,515.78 = 1,077.06 : x
  2. Step 2: Convert to fraction form
    1,823.14/2,515.78 = 1,077.06/x
  3. Step 3: Cross multiply
    1,823.14x = 2,515.78 × 1,077.06
  4. Step 4: Simplify right side
    1,823.14x = 2,709,646.01
  5. Step 5: Solve for x
    x = 2,709,646.01/1,823.14
  6. Step 6: Final answer
    x = 1,486.25

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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.