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Finding the Fourth Proportional to 5,673.80, 7,829.64 and 3,156.02

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Solution

The fourth proportional to 5,673.80, 7,829.64 and 3,156.02 is: 4,355.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.80 : 7,829.64 = 3,156.02 : x
  2. Step 2: Convert to fraction form
    5,673.80/7,829.64 = 3,156.02/x
  3. Step 3: Cross multiply
    5,673.80x = 7,829.64 × 3,156.02
  4. Step 4: Simplify right side
    5,673.80x = 24,710,500.43
  5. Step 5: Solve for x
    x = 24,710,500.43/5,673.80
  6. Step 6: Final answer
    x = 4,355.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.