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Finding the Fourth Proportional to 2,886.71, 4,328.69 and 1,498.65

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Solution

The fourth proportional to 2,886.71, 4,328.69 and 1,498.65 is: 2,247.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.71 : 4,328.69 = 1,498.65 : x
  2. Step 2: Convert to fraction form
    2,886.71/4,328.69 = 1,498.65/x
  3. Step 3: Cross multiply
    2,886.71x = 4,328.69 × 1,498.65
  4. Step 4: Simplify right side
    2,886.71x = 6,487,183.78
  5. Step 5: Solve for x
    x = 6,487,183.78/2,886.71
  6. Step 6: Final answer
    x = 2,247.26

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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.