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Finding the Fourth Proportional to 3,011.42, 4,515.48 and 930.86

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Solution

The fourth proportional to 3,011.42, 4,515.48 and 930.86 is: 1,395.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.42 : 4,515.48 = 930.86 : x
  2. Step 2: Convert to fraction form
    3,011.42/4,515.48 = 930.86/x
  3. Step 3: Cross multiply
    3,011.42x = 4,515.48 × 930.86
  4. Step 4: Simplify right side
    3,011.42x = 4,203,279.71
  5. Step 5: Solve for x
    x = 4,203,279.71/3,011.42
  6. Step 6: Final answer
    x = 1,395.78

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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.