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Finding the Fourth Proportional to 14,124, 19,490.45 and 7,750.44

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Solution

The fourth proportional to 14,124, 19,490.45 and 7,750.44 is: 10,695.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,124 : 19,490.45 = 7,750.44 : x
  2. Step 2: Convert to fraction form
    14,124/19,490.45 = 7,750.44/x
  3. Step 3: Cross multiply
    14,124x = 19,490.45 × 7,750.44
  4. Step 4: Simplify right side
    14,124x = 151,059,563.30
  5. Step 5: Solve for x
    x = 151,059,563.30/14,124
  6. Step 6: Final answer
    x = 10,695.24

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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.