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Finding the Fourth Proportional to 8,855.84, 12,210 and 7,450.40

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Solution

The fourth proportional to 8,855.84, 12,210 and 7,450.40 is: 10,272.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,855.84 : 12,210 = 7,450.40 : x
  2. Step 2: Convert to fraction form
    8,855.84/12,210 = 7,450.40/x
  3. Step 3: Cross multiply
    8,855.84x = 12,210 × 7,450.40
  4. Step 4: Simplify right side
    8,855.84x = 90,969,384
  5. Step 5: Solve for x
    x = 90,969,384/8,855.84
  6. Step 6: Final answer
    x = 10,272.25

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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.