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Finding the Fourth Proportional to 9,958.68, 13,740.84 and 7,868.88

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Solution

The fourth proportional to 9,958.68, 13,740.84 and 7,868.88 is: 10,857.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,958.68 : 13,740.84 = 7,868.88 : x
  2. Step 2: Convert to fraction form
    9,958.68/13,740.84 = 7,868.88/x
  3. Step 3: Cross multiply
    9,958.68x = 13,740.84 × 7,868.88
  4. Step 4: Simplify right side
    9,958.68x = 108,125,021.06
  5. Step 5: Solve for x
    x = 108,125,021.06/9,958.68
  6. Step 6: Final answer
    x = 10,857.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.