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Finding the Fourth Proportional to 7,815.68, 11,701.44 and 6,247.68

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Solution

The fourth proportional to 7,815.68, 11,701.44 and 6,247.68 is: 9,353.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815.68 : 11,701.44 = 6,247.68 : x
  2. Step 2: Convert to fraction form
    7,815.68/11,701.44 = 6,247.68/x
  3. Step 3: Cross multiply
    7,815.68x = 11,701.44 × 6,247.68
  4. Step 4: Simplify right side
    7,815.68x = 73,106,852.66
  5. Step 5: Solve for x
    x = 73,106,852.66/7,815.68
  6. Step 6: Final answer
    x = 9,353.87

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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.