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Finding the Fourth Proportional to 8,830, 12,185.38 and 4,851.08

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Solution

The fourth proportional to 8,830, 12,185.38 and 4,851.08 is: 6,694.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,830 : 12,185.38 = 4,851.08 : x
  2. Step 2: Convert to fraction form
    8,830/12,185.38 = 4,851.08/x
  3. Step 3: Cross multiply
    8,830x = 12,185.38 × 4,851.08
  4. Step 4: Simplify right side
    8,830x = 59,112,253.21
  5. Step 5: Solve for x
    x = 59,112,253.21/8,830
  6. Step 6: Final answer
    x = 6,694.48

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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.