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Finding the Fourth Proportional to 9,438.99, 14,158.91 and 6,678

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Solution

The fourth proportional to 9,438.99, 14,158.91 and 6,678 is: 10,017.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.99 : 14,158.91 = 6,678 : x
  2. Step 2: Convert to fraction form
    9,438.99/14,158.91 = 6,678/x
  3. Step 3: Cross multiply
    9,438.99x = 14,158.91 × 6,678
  4. Step 4: Simplify right side
    9,438.99x = 94,553,217.68
  5. Step 5: Solve for x
    x = 94,553,217.68/9,438.99
  6. Step 6: Final answer
    x = 10,017.31

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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.