Home / 2,588.02-3,882.09-856.78

Finding the Fourth Proportional to 2,588.02, 3,882.09 and 856.78

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Solution

The fourth proportional to 2,588.02, 3,882.09 and 856.78 is: 1,285.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.02 : 3,882.09 = 856.78 : x
  2. Step 2: Convert to fraction form
    2,588.02/3,882.09 = 856.78/x
  3. Step 3: Cross multiply
    2,588.02x = 3,882.09 × 856.78
  4. Step 4: Simplify right side
    2,588.02x = 3,326,097.07
  5. Step 5: Solve for x
    x = 3,326,097.07/2,588.02
  6. Step 6: Final answer
    x = 1,285.19

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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.