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Finding the Fourth Proportional to 1,945.60, 2,924.80 and 1,830.40

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Solution

The fourth proportional to 1,945.60, 2,924.80 and 1,830.40 is: 2,751.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.60 : 2,924.80 = 1,830.40 : x
  2. Step 2: Convert to fraction form
    1,945.60/2,924.80 = 1,830.40/x
  3. Step 3: Cross multiply
    1,945.60x = 2,924.80 × 1,830.40
  4. Step 4: Simplify right side
    1,945.60x = 5,353,553.92
  5. Step 5: Solve for x
    x = 5,353,553.92/1,945.60
  6. Step 6: Final answer
    x = 2,751.62

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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.