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Finding the Fourth Proportional to 5,187.72, 7,159.06 and 2,829.86

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Solution

The fourth proportional to 5,187.72, 7,159.06 and 2,829.86 is: 3,905.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.72 : 7,159.06 = 2,829.86 : x
  2. Step 2: Convert to fraction form
    5,187.72/7,159.06 = 2,829.86/x
  3. Step 3: Cross multiply
    5,187.72x = 7,159.06 × 2,829.86
  4. Step 4: Simplify right side
    5,187.72x = 20,259,137.53
  5. Step 5: Solve for x
    x = 20,259,137.53/5,187.72
  6. Step 6: Final answer
    x = 3,905.21

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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.