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Finding the Fourth Proportional to 3,103.65, 4,655.53 and 763.66

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Solution

The fourth proportional to 3,103.65, 4,655.53 and 763.66 is: 1,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.65 : 4,655.53 = 763.66 : x
  2. Step 2: Convert to fraction form
    3,103.65/4,655.53 = 763.66/x
  3. Step 3: Cross multiply
    3,103.65x = 4,655.53 × 763.66
  4. Step 4: Simplify right side
    3,103.65x = 3,555,244.52
  5. Step 5: Solve for x
    x = 3,555,244.52/3,103.65
  6. Step 6: Final answer
    x = 1,145.50

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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.