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Finding the Fourth Proportional to 3,349.86, 5,024.75 and 816.97

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Solution

The fourth proportional to 3,349.86, 5,024.75 and 816.97 is: 1,225.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.86 : 5,024.75 = 816.97 : x
  2. Step 2: Convert to fraction form
    3,349.86/5,024.75 = 816.97/x
  3. Step 3: Cross multiply
    3,349.86x = 5,024.75 × 816.97
  4. Step 4: Simplify right side
    3,349.86x = 4,105,070.01
  5. Step 5: Solve for x
    x = 4,105,070.01/3,349.86
  6. Step 6: Final answer
    x = 1,225.45

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1.5x scale

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.