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Finding the Fourth Proportional to 1,698.72, 2,324.06 and 1,691.44

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Solution

The fourth proportional to 1,698.72, 2,324.06 and 1,691.44 is: 2,314.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.72 : 2,324.06 = 1,691.44 : x
  2. Step 2: Convert to fraction form
    1,698.72/2,324.06 = 1,691.44/x
  3. Step 3: Cross multiply
    1,698.72x = 2,324.06 × 1,691.44
  4. Step 4: Simplify right side
    1,698.72x = 3,931,008.05
  5. Step 5: Solve for x
    x = 3,931,008.05/1,698.72
  6. Step 6: Final answer
    x = 2,314.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.