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Finding the Fourth Proportional to 14,778.84, 20,396.94 and 8,490

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Solution

The fourth proportional to 14,778.84, 20,396.94 and 8,490 is: 11,717.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,778.84 : 20,396.94 = 8,490 : x
  2. Step 2: Convert to fraction form
    14,778.84/20,396.94 = 8,490/x
  3. Step 3: Cross multiply
    14,778.84x = 20,396.94 × 8,490
  4. Step 4: Simplify right side
    14,778.84x = 173,170,020.60
  5. Step 5: Solve for x
    x = 173,170,020.60/14,778.84
  6. Step 6: Final answer
    x = 11,717.43

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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.