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Finding the Fourth Proportional to 7,925.70, 11,889.12 and 2,731.50

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Solution

The fourth proportional to 7,925.70, 11,889.12 and 2,731.50 is: 4,097.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,925.70 : 11,889.12 = 2,731.50 : x
  2. Step 2: Convert to fraction form
    7,925.70/11,889.12 = 2,731.50/x
  3. Step 3: Cross multiply
    7,925.70x = 11,889.12 × 2,731.50
  4. Step 4: Simplify right side
    7,925.70x = 32,475,131.28
  5. Step 5: Solve for x
    x = 32,475,131.28/7,925.70
  6. Step 6: Final answer
    x = 4,097.45

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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.