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Finding the Fourth Proportional to 5,670.40, 8,505.62 and 1,721.69

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Solution

The fourth proportional to 5,670.40, 8,505.62 and 1,721.69 is: 2,582.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.40 : 8,505.62 = 1,721.69 : x
  2. Step 2: Convert to fraction form
    5,670.40/8,505.62 = 1,721.69/x
  3. Step 3: Cross multiply
    5,670.40x = 8,505.62 × 1,721.69
  4. Step 4: Simplify right side
    5,670.40x = 14,644,040.90
  5. Step 5: Solve for x
    x = 14,644,040.90/5,670.40
  6. Step 6: Final answer
    x = 2,582.54

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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.