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Finding the Fourth Proportional to 9,709.62, 14,579 and 5,554.32

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Solution

The fourth proportional to 9,709.62, 14,579 and 5,554.32 is: 8,339.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.62 : 14,579 = 5,554.32 : x
  2. Step 2: Convert to fraction form
    9,709.62/14,579 = 5,554.32/x
  3. Step 3: Cross multiply
    9,709.62x = 14,579 × 5,554.32
  4. Step 4: Simplify right side
    9,709.62x = 80,976,431.28
  5. Step 5: Solve for x
    x = 80,976,431.28/9,709.62
  6. Step 6: Final answer
    x = 8,339.81

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1.5x scale

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.