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Finding the Fourth Proportional to 5,145, 7,100.12 and 2,906.90

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Solution

The fourth proportional to 5,145, 7,100.12 and 2,906.90 is: 4,011.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145 : 7,100.12 = 2,906.90 : x
  2. Step 2: Convert to fraction form
    5,145/7,100.12 = 2,906.90/x
  3. Step 3: Cross multiply
    5,145x = 7,100.12 × 2,906.90
  4. Step 4: Simplify right side
    5,145x = 20,639,338.83
  5. Step 5: Solve for x
    x = 20,639,338.83/5,145
  6. Step 6: Final answer
    x = 4,011.53

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1.5x scale

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.