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Finding the Fourth Proportional to 2,390.50, 3,584.84 and 929.46

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Solution

The fourth proportional to 2,390.50, 3,584.84 and 929.46 is: 1,393.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.50 : 3,584.84 = 929.46 : x
  2. Step 2: Convert to fraction form
    2,390.50/3,584.84 = 929.46/x
  3. Step 3: Cross multiply
    2,390.50x = 3,584.84 × 929.46
  4. Step 4: Simplify right side
    2,390.50x = 3,331,965.39
  5. Step 5: Solve for x
    x = 3,331,965.39/2,390.50
  6. Step 6: Final answer
    x = 1,393.84

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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.