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Finding the Fourth Proportional to 2,281.50, 3,423.77 and 894.81

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Solution

The fourth proportional to 2,281.50, 3,423.77 and 894.81 is: 1,342.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.50 : 3,423.77 = 894.81 : x
  2. Step 2: Convert to fraction form
    2,281.50/3,423.77 = 894.81/x
  3. Step 3: Cross multiply
    2,281.50x = 3,423.77 × 894.81
  4. Step 4: Simplify right side
    2,281.50x = 3,063,635.35
  5. Step 5: Solve for x
    x = 3,063,635.35/2,281.50
  6. Step 6: Final answer
    x = 1,342.82

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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.