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Finding the Fourth Proportional to 2,077.63, 3,116.63 and 761.74

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Solution

The fourth proportional to 2,077.63, 3,116.63 and 761.74 is: 1,142.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.63 : 3,116.63 = 761.74 : x
  2. Step 2: Convert to fraction form
    2,077.63/3,116.63 = 761.74/x
  3. Step 3: Cross multiply
    2,077.63x = 3,116.63 × 761.74
  4. Step 4: Simplify right side
    2,077.63x = 2,374,061.74
  5. Step 5: Solve for x
    x = 2,374,061.74/2,077.63
  6. Step 6: Final answer
    x = 1,142.68

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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.