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Finding the Fourth Proportional to 2,048.86, 3,073.32 and 509.86

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Solution

The fourth proportional to 2,048.86, 3,073.32 and 509.86 is: 764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.86 : 3,073.32 = 509.86 : x
  2. Step 2: Convert to fraction form
    2,048.86/3,073.32 = 509.86/x
  3. Step 3: Cross multiply
    2,048.86x = 3,073.32 × 509.86
  4. Step 4: Simplify right side
    2,048.86x = 1,566,962.94
  5. Step 5: Solve for x
    x = 1,566,962.94/2,048.86
  6. Step 6: Final answer
    x = 764.80

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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.