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Finding the Fourth Proportional to 7,830.96, 11,750.09 and 7,739.84

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Solution

The fourth proportional to 7,830.96, 11,750.09 and 7,739.84 is: 11,613.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.96 : 11,750.09 = 7,739.84 : x
  2. Step 2: Convert to fraction form
    7,830.96/11,750.09 = 7,739.84/x
  3. Step 3: Cross multiply
    7,830.96x = 11,750.09 × 7,739.84
  4. Step 4: Simplify right side
    7,830.96x = 90,943,719.14
  5. Step 5: Solve for x
    x = 90,943,719.14/7,830.96
  6. Step 6: Final answer
    x = 11,613.36

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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.