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Finding the Fourth Proportional to 1,607.76, 2,234.04 and 1,601.28

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Solution

The fourth proportional to 1,607.76, 2,234.04 and 1,601.28 is: 2,225.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.76 : 2,234.04 = 1,601.28 : x
  2. Step 2: Convert to fraction form
    1,607.76/2,234.04 = 1,601.28/x
  3. Step 3: Cross multiply
    1,607.76x = 2,234.04 × 1,601.28
  4. Step 4: Simplify right side
    1,607.76x = 3,577,323.57
  5. Step 5: Solve for x
    x = 3,577,323.57/1,607.76
  6. Step 6: Final answer
    x = 2,225.04

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.