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Finding the Fourth Proportional to 2,014.38, 3,021.57 and 715.86

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Solution

The fourth proportional to 2,014.38, 3,021.57 and 715.86 is: 1,073.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.38 : 3,021.57 = 715.86 : x
  2. Step 2: Convert to fraction form
    2,014.38/3,021.57 = 715.86/x
  3. Step 3: Cross multiply
    2,014.38x = 3,021.57 × 715.86
  4. Step 4: Simplify right side
    2,014.38x = 2,163,021.10
  5. Step 5: Solve for x
    x = 2,163,021.10/2,014.38
  6. Step 6: Final answer
    x = 1,073.79

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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.