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Finding the Fourth Proportional to 3,714.88, 5,574.48 and 2,930.08

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Solution

The fourth proportional to 3,714.88, 5,574.48 and 2,930.08 is: 4,396.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.88 : 5,574.48 = 2,930.08 : x
  2. Step 2: Convert to fraction form
    3,714.88/5,574.48 = 2,930.08/x
  3. Step 3: Cross multiply
    3,714.88x = 5,574.48 × 2,930.08
  4. Step 4: Simplify right side
    3,714.88x = 16,333,672.36
  5. Step 5: Solve for x
    x = 16,333,672.36/3,714.88
  6. Step 6: Final answer
    x = 4,396.82

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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.