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Finding the Fourth Proportional to 2,606.64, 3,911.12 and 962.80

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Solution

The fourth proportional to 2,606.64, 3,911.12 and 962.80 is: 1,444.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.64 : 3,911.12 = 962.80 : x
  2. Step 2: Convert to fraction form
    2,606.64/3,911.12 = 962.80/x
  3. Step 3: Cross multiply
    2,606.64x = 3,911.12 × 962.80
  4. Step 4: Simplify right side
    2,606.64x = 3,765,626.34
  5. Step 5: Solve for x
    x = 3,765,626.34/2,606.64
  6. Step 6: Final answer
    x = 1,444.63

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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.