Home / 1,820.93-2,731.09-588.16

Finding the Fourth Proportional to 1,820.93, 2,731.09 and 588.16

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Solution

The fourth proportional to 1,820.93, 2,731.09 and 588.16 is: 882.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.93 : 2,731.09 = 588.16 : x
  2. Step 2: Convert to fraction form
    1,820.93/2,731.09 = 588.16/x
  3. Step 3: Cross multiply
    1,820.93x = 2,731.09 × 588.16
  4. Step 4: Simplify right side
    1,820.93x = 1,606,322.59
  5. Step 5: Solve for x
    x = 1,606,322.59/1,820.93
  6. Step 6: Final answer
    x = 882.14

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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.