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Finding the Fourth Proportional to 7,671.40, 11,507.68 and 2,124.68

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Solution

The fourth proportional to 7,671.40, 11,507.68 and 2,124.68 is: 3,187.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.40 : 11,507.68 = 2,124.68 : x
  2. Step 2: Convert to fraction form
    7,671.40/11,507.68 = 2,124.68/x
  3. Step 3: Cross multiply
    7,671.40x = 11,507.68 × 2,124.68
  4. Step 4: Simplify right side
    7,671.40x = 24,450,137.54
  5. Step 5: Solve for x
    x = 24,450,137.54/7,671.40
  6. Step 6: Final answer
    x = 3,187.18

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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.