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Finding the Fourth Proportional to 5,101.56, 7,041.12 and 3,113.88

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Solution

The fourth proportional to 5,101.56, 7,041.12 and 3,113.88 is: 4,297.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.56 : 7,041.12 = 3,113.88 : x
  2. Step 2: Convert to fraction form
    5,101.56/7,041.12 = 3,113.88/x
  3. Step 3: Cross multiply
    5,101.56x = 7,041.12 × 3,113.88
  4. Step 4: Simplify right side
    5,101.56x = 21,925,202.75
  5. Step 5: Solve for x
    x = 21,925,202.75/5,101.56
  6. Step 6: Final answer
    x = 4,297.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.