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Finding the Fourth Proportional to 1,672.05, 2,498.19 and 1,614.63

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Solution

The fourth proportional to 1,672.05, 2,498.19 and 1,614.63 is: 2,412.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.05 : 2,498.19 = 1,614.63 : x
  2. Step 2: Convert to fraction form
    1,672.05/2,498.19 = 1,614.63/x
  3. Step 3: Cross multiply
    1,672.05x = 2,498.19 × 1,614.63
  4. Step 4: Simplify right side
    1,672.05x = 4,033,652.52
  5. Step 5: Solve for x
    x = 4,033,652.52/1,672.05
  6. Step 6: Final answer
    x = 2,412.40

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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.