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Finding the Fourth Proportional to 2,726.34, 4,090.16 and 877.63

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Solution

The fourth proportional to 2,726.34, 4,090.16 and 877.63 is: 1,316.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.34 : 4,090.16 = 877.63 : x
  2. Step 2: Convert to fraction form
    2,726.34/4,090.16 = 877.63/x
  3. Step 3: Cross multiply
    2,726.34x = 4,090.16 × 877.63
  4. Step 4: Simplify right side
    2,726.34x = 3,589,639.09
  5. Step 5: Solve for x
    x = 3,589,639.09/2,726.34
  6. Step 6: Final answer
    x = 1,316.65

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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.