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Finding the Fourth Proportional to 2,390.60, 3,585 and 929.42

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Solution

The fourth proportional to 2,390.60, 3,585 and 929.42 is: 1,393.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.60 : 3,585 = 929.42 : x
  2. Step 2: Convert to fraction form
    2,390.60/3,585 = 929.42/x
  3. Step 3: Cross multiply
    2,390.60x = 3,585 × 929.42
  4. Step 4: Simplify right side
    2,390.60x = 3,331,970.70
  5. Step 5: Solve for x
    x = 3,331,970.70/2,390.60
  6. Step 6: Final answer
    x = 1,393.78

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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.