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Finding the Fourth Proportional to 2,656.26, 3,985.02 and 877.41

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Solution

The fourth proportional to 2,656.26, 3,985.02 and 877.41 is: 1,316.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.26 : 3,985.02 = 877.41 : x
  2. Step 2: Convert to fraction form
    2,656.26/3,985.02 = 877.41/x
  3. Step 3: Cross multiply
    2,656.26x = 3,985.02 × 877.41
  4. Step 4: Simplify right side
    2,656.26x = 3,496,496.40
  5. Step 5: Solve for x
    x = 3,496,496.40/2,656.26
  6. Step 6: Final answer
    x = 1,316.32

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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.