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Finding the Fourth Proportional to 14,573.16, 21,861 and 5,212.20

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Solution

The fourth proportional to 14,573.16, 21,861 and 5,212.20 is: 7,818.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,573.16 : 21,861 = 5,212.20 : x
  2. Step 2: Convert to fraction form
    14,573.16/21,861 = 5,212.20/x
  3. Step 3: Cross multiply
    14,573.16x = 21,861 × 5,212.20
  4. Step 4: Simplify right side
    14,573.16x = 113,943,904.20
  5. Step 5: Solve for x
    x = 113,943,904.20/14,573.16
  6. Step 6: Final answer
    x = 7,818.75

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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.