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Finding the Fourth Proportional to 8,820, 12,172.20 and 5,094

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Solution

The fourth proportional to 8,820, 12,172.20 and 5,094 is: 7,030.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,820 : 12,172.20 = 5,094 : x
  2. Step 2: Convert to fraction form
    8,820/12,172.20 = 5,094/x
  3. Step 3: Cross multiply
    8,820x = 12,172.20 × 5,094
  4. Step 4: Simplify right side
    8,820x = 62,005,186.80
  5. Step 5: Solve for x
    x = 62,005,186.80/8,820
  6. Step 6: Final answer
    x = 7,030.07

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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.