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Finding the Fourth Proportional to 2,656.33, 3,983.65 and 877.00

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Solution

The fourth proportional to 2,656.33, 3,983.65 and 877.00 is: 1,315.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.33 : 3,983.65 = 877.00 : x
  2. Step 2: Convert to fraction form
    2,656.33/3,983.65 = 877.00/x
  3. Step 3: Cross multiply
    2,656.33x = 3,983.65 × 877.00
  4. Step 4: Simplify right side
    2,656.33x = 3,493,644.21
  5. Step 5: Solve for x
    x = 3,493,644.21/2,656.33
  6. Step 6: Final answer
    x = 1,315.21

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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.