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Finding the Fourth Proportional to 8,740, 12,053.34 and 5,754.76

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Solution

The fourth proportional to 8,740, 12,053.34 and 5,754.76 is: 7,936.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,740 : 12,053.34 = 5,754.76 : x
  2. Step 2: Convert to fraction form
    8,740/12,053.34 = 5,754.76/x
  3. Step 3: Cross multiply
    8,740x = 12,053.34 × 5,754.76
  4. Step 4: Simplify right side
    8,740x = 69,364,078.90
  5. Step 5: Solve for x
    x = 69,364,078.90/8,740
  6. Step 6: Final answer
    x = 7,936.39

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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.