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Finding the Fourth Proportional to 2,992.77, 4,129.88 and 1,666.46

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Solution

The fourth proportional to 2,992.77, 4,129.88 and 1,666.46 is: 2,299.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.77 : 4,129.88 = 1,666.46 : x
  2. Step 2: Convert to fraction form
    2,992.77/4,129.88 = 1,666.46/x
  3. Step 3: Cross multiply
    2,992.77x = 4,129.88 × 1,666.46
  4. Step 4: Simplify right side
    2,992.77x = 6,882,281.82
  5. Step 5: Solve for x
    x = 6,882,281.82/2,992.77
  6. Step 6: Final answer
    x = 2,299.64

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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.