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Finding the Fourth Proportional to 7,163, 10,745.12 and 1,968.88

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Solution

The fourth proportional to 7,163, 10,745.12 and 1,968.88 is: 2,953.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163 : 10,745.12 = 1,968.88 : x
  2. Step 2: Convert to fraction form
    7,163/10,745.12 = 1,968.88/x
  3. Step 3: Cross multiply
    7,163x = 10,745.12 × 1,968.88
  4. Step 4: Simplify right side
    7,163x = 21,155,851.87
  5. Step 5: Solve for x
    x = 21,155,851.87/7,163
  6. Step 6: Final answer
    x = 2,953.49

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1.5x scale

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.