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Finding the Fourth Proportional to 5,223.38, 7,835.42 and 1,712.45

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Solution

The fourth proportional to 5,223.38, 7,835.42 and 1,712.45 is: 2,568.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.38 : 7,835.42 = 1,712.45 : x
  2. Step 2: Convert to fraction form
    5,223.38/7,835.42 = 1,712.45/x
  3. Step 3: Cross multiply
    5,223.38x = 7,835.42 × 1,712.45
  4. Step 4: Simplify right side
    5,223.38x = 13,417,788.85
  5. Step 5: Solve for x
    x = 13,417,788.85/5,223.38
  6. Step 6: Final answer
    x = 2,568.80

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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.