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Finding the Fourth Proportional to 7,928.64, 11,888.64 and 4,034.88

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Solution

The fourth proportional to 7,928.64, 11,888.64 and 4,034.88 is: 6,050.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,928.64 : 11,888.64 = 4,034.88 : x
  2. Step 2: Convert to fraction form
    7,928.64/11,888.64 = 4,034.88/x
  3. Step 3: Cross multiply
    7,928.64x = 11,888.64 × 4,034.88
  4. Step 4: Simplify right side
    7,928.64x = 47,969,235.76
  5. Step 5: Solve for x
    x = 47,969,235.76/7,928.64
  6. Step 6: Final answer
    x = 6,050.12

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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.