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Finding the Fourth Proportional to 5,323.69, 7,985.63 and 1,765.83

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Solution

The fourth proportional to 5,323.69, 7,985.63 and 1,765.83 is: 2,648.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.69 : 7,985.63 = 1,765.83 : x
  2. Step 2: Convert to fraction form
    5,323.69/7,985.63 = 1,765.83/x
  3. Step 3: Cross multiply
    5,323.69x = 7,985.63 × 1,765.83
  4. Step 4: Simplify right side
    5,323.69x = 14,101,265.02
  5. Step 5: Solve for x
    x = 14,101,265.02/5,323.69
  6. Step 6: Final answer
    x = 2,648.78

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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.