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Finding the Fourth Proportional to 9,558, 14,311.28 and 5,391.77

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Solution

The fourth proportional to 9,558, 14,311.28 and 5,391.77 is: 8,073.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,558 : 14,311.28 = 5,391.77 : x
  2. Step 2: Convert to fraction form
    9,558/14,311.28 = 5,391.77/x
  3. Step 3: Cross multiply
    9,558x = 14,311.28 × 5,391.77
  4. Step 4: Simplify right side
    9,558x = 77,163,072.09
  5. Step 5: Solve for x
    x = 77,163,072.09/9,558
  6. Step 6: Final answer
    x = 8,073.14

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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.