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Finding the Fourth Proportional to 1,672.92, 2,491.56 and 1,653.48

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Solution

The fourth proportional to 1,672.92, 2,491.56 and 1,653.48 is: 2,462.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.92 : 2,491.56 = 1,653.48 : x
  2. Step 2: Convert to fraction form
    1,672.92/2,491.56 = 1,653.48/x
  3. Step 3: Cross multiply
    1,672.92x = 2,491.56 × 1,653.48
  4. Step 4: Simplify right side
    1,672.92x = 4,119,744.63
  5. Step 5: Solve for x
    x = 4,119,744.63/1,672.92
  6. Step 6: Final answer
    x = 2,462.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.