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Finding the Fourth Proportional to 14,282.10, 21,420.78 and 4,794.30

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Solution

The fourth proportional to 14,282.10, 21,420.78 and 4,794.30 is: 7,190.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282.10 : 21,420.78 = 4,794.30 : x
  2. Step 2: Convert to fraction form
    14,282.10/21,420.78 = 4,794.30/x
  3. Step 3: Cross multiply
    14,282.10x = 21,420.78 × 4,794.30
  4. Step 4: Simplify right side
    14,282.10x = 102,697,645.55
  5. Step 5: Solve for x
    x = 102,697,645.55/14,282.10
  6. Step 6: Final answer
    x = 7,190.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.