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Finding the Fourth Proportional to 8,813, 12,162.42 and 5,088.20

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Solution

The fourth proportional to 8,813, 12,162.42 and 5,088.20 is: 7,021.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,813 : 12,162.42 = 5,088.20 : x
  2. Step 2: Convert to fraction form
    8,813/12,162.42 = 5,088.20/x
  3. Step 3: Cross multiply
    8,813x = 12,162.42 × 5,088.20
  4. Step 4: Simplify right side
    8,813x = 61,884,825.44
  5. Step 5: Solve for x
    x = 61,884,825.44/8,813
  6. Step 6: Final answer
    x = 7,021.99

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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.