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Finding the Fourth Proportional to 5,166.76, 7,750.14 and 1,271.17

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Solution

The fourth proportional to 5,166.76, 7,750.14 and 1,271.17 is: 1,906.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.76 : 7,750.14 = 1,271.17 : x
  2. Step 2: Convert to fraction form
    5,166.76/7,750.14 = 1,271.17/x
  3. Step 3: Cross multiply
    5,166.76x = 7,750.14 × 1,271.17
  4. Step 4: Simplify right side
    5,166.76x = 9,851,745.46
  5. Step 5: Solve for x
    x = 9,851,745.46/5,166.76
  6. Step 6: Final answer
    x = 1,906.76

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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.