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Finding the Fourth Proportional to 2,152.48, 3,228.06 and 691.24

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Solution

The fourth proportional to 2,152.48, 3,228.06 and 691.24 is: 1,036.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.48 : 3,228.06 = 691.24 : x
  2. Step 2: Convert to fraction form
    2,152.48/3,228.06 = 691.24/x
  3. Step 3: Cross multiply
    2,152.48x = 3,228.06 × 691.24
  4. Step 4: Simplify right side
    2,152.48x = 2,231,364.19
  5. Step 5: Solve for x
    x = 2,231,364.19/2,152.48
  6. Step 6: Final answer
    x = 1,036.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.