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Finding the Fourth Proportional to 5,673.92, 7,830.03 and 3,156.19

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Solution

The fourth proportional to 5,673.92, 7,830.03 and 3,156.19 is: 4,355.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.92 : 7,830.03 = 3,156.19 : x
  2. Step 2: Convert to fraction form
    5,673.92/7,830.03 = 3,156.19/x
  3. Step 3: Cross multiply
    5,673.92x = 7,830.03 × 3,156.19
  4. Step 4: Simplify right side
    5,673.92x = 24,713,046.60
  5. Step 5: Solve for x
    x = 24,713,046.60/5,673.92
  6. Step 6: Final answer
    x = 4,355.55

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1.5x scale

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.