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Finding the Fourth Proportional to 9,384, 14,076 and 3,539.25

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Solution

The fourth proportional to 9,384, 14,076 and 3,539.25 is: 5,308.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384 : 14,076 = 3,539.25 : x
  2. Step 2: Convert to fraction form
    9,384/14,076 = 3,539.25/x
  3. Step 3: Cross multiply
    9,384x = 14,076 × 3,539.25
  4. Step 4: Simplify right side
    9,384x = 49,818,412.62
  5. Step 5: Solve for x
    x = 49,818,412.62/9,384
  6. Step 6: Final answer
    x = 5,308.87

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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.