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Finding the Fourth Proportional to 2,383.94, 3,575.93 and 979.13

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Solution

The fourth proportional to 2,383.94, 3,575.93 and 979.13 is: 1,468.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.94 : 3,575.93 = 979.13 : x
  2. Step 2: Convert to fraction form
    2,383.94/3,575.93 = 979.13/x
  3. Step 3: Cross multiply
    2,383.94x = 3,575.93 × 979.13
  4. Step 4: Simplify right side
    2,383.94x = 3,501,300.34
  5. Step 5: Solve for x
    x = 3,501,300.34/2,383.94
  6. Step 6: Final answer
    x = 1,468.70

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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.