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Finding the Fourth Proportional to 1,628.40, 2,442.12 and 1,304.40

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Solution

The fourth proportional to 1,628.40, 2,442.12 and 1,304.40 is: 1,956.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.40 : 2,442.12 = 1,304.40 : x
  2. Step 2: Convert to fraction form
    1,628.40/2,442.12 = 1,304.40/x
  3. Step 3: Cross multiply
    1,628.40x = 2,442.12 × 1,304.40
  4. Step 4: Simplify right side
    1,628.40x = 3,185,501.33
  5. Step 5: Solve for x
    x = 3,185,501.33/1,628.40
  6. Step 6: Final answer
    x = 1,956.22

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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.