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Finding the Fourth Proportional to 8,898.84, 12,271.12 and 7,644

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Solution

The fourth proportional to 8,898.84, 12,271.12 and 7,644 is: 10,540.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,898.84 : 12,271.12 = 7,644 : x
  2. Step 2: Convert to fraction form
    8,898.84/12,271.12 = 7,644/x
  3. Step 3: Cross multiply
    8,898.84x = 12,271.12 × 7,644
  4. Step 4: Simplify right side
    8,898.84x = 93,800,441.28
  5. Step 5: Solve for x
    x = 93,800,441.28/8,898.84
  6. Step 6: Final answer
    x = 10,540.75

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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.