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Finding the Fourth Proportional to 1,630.64, 2,448.12 and 1,267.76

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Solution

The fourth proportional to 1,630.64, 2,448.12 and 1,267.76 is: 1,903.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.64 : 2,448.12 = 1,267.76 : x
  2. Step 2: Convert to fraction form
    1,630.64/2,448.12 = 1,267.76/x
  3. Step 3: Cross multiply
    1,630.64x = 2,448.12 × 1,267.76
  4. Step 4: Simplify right side
    1,630.64x = 3,103,628.61
  5. Step 5: Solve for x
    x = 3,103,628.61/1,630.64
  6. Step 6: Final answer
    x = 1,903.32

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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.