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Finding the Fourth Proportional to 2,814.08, 4,221.12 and 762.08

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Solution

The fourth proportional to 2,814.08, 4,221.12 and 762.08 is: 1,143.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.08 : 4,221.12 = 762.08 : x
  2. Step 2: Convert to fraction form
    2,814.08/4,221.12 = 762.08/x
  3. Step 3: Cross multiply
    2,814.08x = 4,221.12 × 762.08
  4. Step 4: Simplify right side
    2,814.08x = 3,216,831.13
  5. Step 5: Solve for x
    x = 3,216,831.13/2,814.08
  6. Step 6: Final answer
    x = 1,143.12

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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.