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Finding the Fourth Proportional to 2,689.52, 3,710.22 and 1,639.76

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Solution

The fourth proportional to 2,689.52, 3,710.22 and 1,639.76 is: 2,262.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.52 : 3,710.22 = 1,639.76 : x
  2. Step 2: Convert to fraction form
    2,689.52/3,710.22 = 1,639.76/x
  3. Step 3: Cross multiply
    2,689.52x = 3,710.22 × 1,639.76
  4. Step 4: Simplify right side
    2,689.52x = 6,083,870.35
  5. Step 5: Solve for x
    x = 6,083,870.35/2,689.52
  6. Step 6: Final answer
    x = 2,262.07

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1.5x scale

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.