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Finding the Fourth Proportional to 2,076.68, 3,113.10 and 777.26

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Solution

The fourth proportional to 2,076.68, 3,113.10 and 777.26 is: 1,165.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.68 : 3,113.10 = 777.26 : x
  2. Step 2: Convert to fraction form
    2,076.68/3,113.10 = 777.26/x
  3. Step 3: Cross multiply
    2,076.68x = 3,113.10 × 777.26
  4. Step 4: Simplify right side
    2,076.68x = 2,419,688.11
  5. Step 5: Solve for x
    x = 2,419,688.11/2,076.68
  6. Step 6: Final answer
    x = 1,165.17

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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.