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Finding the Fourth Proportional to 4,585, 6,871.80 and 1,660.09

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Solution

The fourth proportional to 4,585, 6,871.80 and 1,660.09 is: 2,488.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,585 : 6,871.80 = 1,660.09 : x
  2. Step 2: Convert to fraction form
    4,585/6,871.80 = 1,660.09/x
  3. Step 3: Cross multiply
    4,585x = 6,871.80 × 1,660.09
  4. Step 4: Simplify right side
    4,585x = 11,407,806.46
  5. Step 5: Solve for x
    x = 11,407,806.46/4,585
  6. Step 6: Final answer
    x = 2,488.07

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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.