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Finding the Fourth Proportional to 8,731, 12,047.56 and 5,374.36

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Solution

The fourth proportional to 8,731, 12,047.56 and 5,374.36 is: 7,415.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,731 : 12,047.56 = 5,374.36 : x
  2. Step 2: Convert to fraction form
    8,731/12,047.56 = 5,374.36/x
  3. Step 3: Cross multiply
    8,731x = 12,047.56 × 5,374.36
  4. Step 4: Simplify right side
    8,731x = 64,747,924.56
  5. Step 5: Solve for x
    x = 64,747,924.56/8,731
  6. Step 6: Final answer
    x = 7,415.87

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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.