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Finding the Fourth Proportional to 14,617.60, 21,930 and 4,230.40

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Solution

The fourth proportional to 14,617.60, 21,930 and 4,230.40 is: 6,346.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,617.60 : 21,930 = 4,230.40 : x
  2. Step 2: Convert to fraction form
    14,617.60/21,930 = 4,230.40/x
  3. Step 3: Cross multiply
    14,617.60x = 21,930 × 4,230.40
  4. Step 4: Simplify right side
    14,617.60x = 92,772,672.00
  5. Step 5: Solve for x
    x = 92,772,672.00/14,617.60
  6. Step 6: Final answer
    x = 6,346.64

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Why These Related Problems?

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