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Finding the Fourth Proportional to 2,262.60, 3,393.54 and 619.38

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Solution

The fourth proportional to 2,262.60, 3,393.54 and 619.38 is: 928.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.60 : 3,393.54 = 619.38 : x
  2. Step 2: Convert to fraction form
    2,262.60/3,393.54 = 619.38/x
  3. Step 3: Cross multiply
    2,262.60x = 3,393.54 × 619.38
  4. Step 4: Simplify right side
    2,262.60x = 2,101,890.81
  5. Step 5: Solve for x
    x = 2,101,890.81/2,262.60
  6. Step 6: Final answer
    x = 928.97

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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.