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Finding the Fourth Proportional to 6,651.06, 9,978.62 and 3,143.76

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Solution

The fourth proportional to 6,651.06, 9,978.62 and 3,143.76 is: 4,716.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.06 : 9,978.62 = 3,143.76 : x
  2. Step 2: Convert to fraction form
    6,651.06/9,978.62 = 3,143.76/x
  3. Step 3: Cross multiply
    6,651.06x = 9,978.62 × 3,143.76
  4. Step 4: Simplify right side
    6,651.06x = 31,370,386.41
  5. Step 5: Solve for x
    x = 31,370,386.41/6,651.06
  6. Step 6: Final answer
    x = 4,716.60

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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.