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Finding the Fourth Proportional to 2,148.48, 3,222.96 and 687.30

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Solution

The fourth proportional to 2,148.48, 3,222.96 and 687.30 is: 1,031.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.48 : 3,222.96 = 687.30 : x
  2. Step 2: Convert to fraction form
    2,148.48/3,222.96 = 687.30/x
  3. Step 3: Cross multiply
    2,148.48x = 3,222.96 × 687.30
  4. Step 4: Simplify right side
    2,148.48x = 2,215,140.41
  5. Step 5: Solve for x
    x = 2,215,140.41/2,148.48
  6. Step 6: Final answer
    x = 1,031.03

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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.