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Finding the Fourth Proportional to 2,113, 3,170.96 and 745

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Solution

The fourth proportional to 2,113, 3,170.96 and 745 is: 1,118.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113 : 3,170.96 = 745 : x
  2. Step 2: Convert to fraction form
    2,113/3,170.96 = 745/x
  3. Step 3: Cross multiply
    2,113x = 3,170.96 × 745
  4. Step 4: Simplify right side
    2,113x = 2,362,365.20
  5. Step 5: Solve for x
    x = 2,362,365.20/2,113
  6. Step 6: Final answer
    x = 1,118.01

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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.