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Finding the Fourth Proportional to 2,689.47, 3,698.06 and 2,295.81

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Solution

The fourth proportional to 2,689.47, 3,698.06 and 2,295.81 is: 3,156.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.47 : 3,698.06 = 2,295.81 : x
  2. Step 2: Convert to fraction form
    2,689.47/3,698.06 = 2,295.81/x
  3. Step 3: Cross multiply
    2,689.47x = 3,698.06 × 2,295.81
  4. Step 4: Simplify right side
    2,689.47x = 8,490,031.65
  5. Step 5: Solve for x
    x = 8,490,031.65/2,689.47
  6. Step 6: Final answer
    x = 3,156.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.