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Finding the Fourth Proportional to 9,126, 13,695.89 and 4,743.09

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Solution

The fourth proportional to 9,126, 13,695.89 and 4,743.09 is: 7,118.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126 : 13,695.89 = 4,743.09 : x
  2. Step 2: Convert to fraction form
    9,126/13,695.89 = 4,743.09/x
  3. Step 3: Cross multiply
    9,126x = 13,695.89 × 4,743.09
  4. Step 4: Simplify right side
    9,126x = 64,960,815.18
  5. Step 5: Solve for x
    x = 64,960,815.18/9,126
  6. Step 6: Final answer
    x = 7,118.21

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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.