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Finding the Fourth Proportional to 1,962.92, 2,706.02 and 1,403.24

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Solution

The fourth proportional to 1,962.92, 2,706.02 and 1,403.24 is: 1,934.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.92 : 2,706.02 = 1,403.24 : x
  2. Step 2: Convert to fraction form
    1,962.92/2,706.02 = 1,403.24/x
  3. Step 3: Cross multiply
    1,962.92x = 2,706.02 × 1,403.24
  4. Step 4: Simplify right side
    1,962.92x = 3,797,195.50
  5. Step 5: Solve for x
    x = 3,797,195.50/1,962.92
  6. Step 6: Final answer
    x = 1,934.46

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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.