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Finding the Fourth Proportional to 2,270.60, 3,406.86 and 954.69

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Solution

The fourth proportional to 2,270.60, 3,406.86 and 954.69 is: 1,432.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.60 : 3,406.86 = 954.69 : x
  2. Step 2: Convert to fraction form
    2,270.60/3,406.86 = 954.69/x
  3. Step 3: Cross multiply
    2,270.60x = 3,406.86 × 954.69
  4. Step 4: Simplify right side
    2,270.60x = 3,252,482.40
  5. Step 5: Solve for x
    x = 3,252,482.40/2,270.60
  6. Step 6: Final answer
    x = 1,432.43

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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.