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Finding the Fourth Proportional to 8,810, 12,157.80 and 5,086.16

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Solution

The fourth proportional to 8,810, 12,157.80 and 5,086.16 is: 7,018.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,810 : 12,157.80 = 5,086.16 : x
  2. Step 2: Convert to fraction form
    8,810/12,157.80 = 5,086.16/x
  3. Step 3: Cross multiply
    8,810x = 12,157.80 × 5,086.16
  4. Step 4: Simplify right side
    8,810x = 61,836,516.05
  5. Step 5: Solve for x
    x = 61,836,516.05/8,810
  6. Step 6: Final answer
    x = 7,018.90

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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.