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Finding the Fourth Proportional to 1,582.78, 2,379.48 and 1,276.78

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Solution

The fourth proportional to 1,582.78, 2,379.48 and 1,276.78 is: 1,919.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.78 : 2,379.48 = 1,276.78 : x
  2. Step 2: Convert to fraction form
    1,582.78/2,379.48 = 1,276.78/x
  3. Step 3: Cross multiply
    1,582.78x = 2,379.48 × 1,276.78
  4. Step 4: Simplify right side
    1,582.78x = 3,038,072.47
  5. Step 5: Solve for x
    x = 3,038,072.47/1,582.78
  6. Step 6: Final answer
    x = 1,919.45

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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.