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Finding the Fourth Proportional to 2,151.08, 3,225.90 and 764.16

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Solution

The fourth proportional to 2,151.08, 3,225.90 and 764.16 is: 1,145.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.08 : 3,225.90 = 764.16 : x
  2. Step 2: Convert to fraction form
    2,151.08/3,225.90 = 764.16/x
  3. Step 3: Cross multiply
    2,151.08x = 3,225.90 × 764.16
  4. Step 4: Simplify right side
    2,151.08x = 2,465,103.74
  5. Step 5: Solve for x
    x = 2,465,103.74/2,151.08
  6. Step 6: Final answer
    x = 1,145.98

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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.