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Finding the Fourth Proportional to 3,113.31, 4,669.90 and 773.32

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Solution

The fourth proportional to 3,113.31, 4,669.90 and 773.32 is: 1,159.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.31 : 4,669.90 = 773.32 : x
  2. Step 2: Convert to fraction form
    3,113.31/4,669.90 = 773.32/x
  3. Step 3: Cross multiply
    3,113.31x = 4,669.90 × 773.32
  4. Step 4: Simplify right side
    3,113.31x = 3,611,303.72
  5. Step 5: Solve for x
    x = 3,611,303.72/3,113.31
  6. Step 6: Final answer
    x = 1,159.96

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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.