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Finding the Fourth Proportional to 7,906.88, 11,870.40 and 6,448.88

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Solution

The fourth proportional to 7,906.88, 11,870.40 and 6,448.88 is: 9,681.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.88 : 11,870.40 = 6,448.88 : x
  2. Step 2: Convert to fraction form
    7,906.88/11,870.40 = 6,448.88/x
  3. Step 3: Cross multiply
    7,906.88x = 11,870.40 × 6,448.88
  4. Step 4: Simplify right side
    7,906.88x = 76,550,785.15
  5. Step 5: Solve for x
    x = 76,550,785.15/7,906.88
  6. Step 6: Final answer
    x = 9,681.54

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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.