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Finding the Fourth Proportional to 3,125, 4,689.45 and 1,665.11

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Solution

The fourth proportional to 3,125, 4,689.45 and 1,665.11 is: 2,498.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125 : 4,689.45 = 1,665.11 : x
  2. Step 2: Convert to fraction form
    3,125/4,689.45 = 1,665.11/x
  3. Step 3: Cross multiply
    3,125x = 4,689.45 × 1,665.11
  4. Step 4: Simplify right side
    3,125x = 7,808,450.09
  5. Step 5: Solve for x
    x = 7,808,450.09/3,125
  6. Step 6: Final answer
    x = 2,498.70

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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.