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Finding the Fourth Proportional to 7,671.88, 11,507.96 and 2,406.77

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Solution

The fourth proportional to 7,671.88, 11,507.96 and 2,406.77 is: 3,610.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.88 : 11,507.96 = 2,406.77 : x
  2. Step 2: Convert to fraction form
    7,671.88/11,507.96 = 2,406.77/x
  3. Step 3: Cross multiply
    7,671.88x = 11,507.96 × 2,406.77
  4. Step 4: Simplify right side
    7,671.88x = 27,696,943.32
  5. Step 5: Solve for x
    x = 27,696,943.32/7,671.88
  6. Step 6: Final answer
    x = 3,610.19

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1.5x scale

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.