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Finding the Fourth Proportional to 4,786.79, 7,178.24 and 1,666.13

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Solution

The fourth proportional to 4,786.79, 7,178.24 and 1,666.13 is: 2,498.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.79 : 7,178.24 = 1,666.13 : x
  2. Step 2: Convert to fraction form
    4,786.79/7,178.24 = 1,666.13/x
  3. Step 3: Cross multiply
    4,786.79x = 7,178.24 × 1,666.13
  4. Step 4: Simplify right side
    4,786.79x = 11,959,890.63
  5. Step 5: Solve for x
    x = 11,959,890.63/4,786.79
  6. Step 6: Final answer
    x = 2,498.52

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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.