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Finding the Fourth Proportional to 11,835.40, 17,738.02 and 6,291.40

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Solution

The fourth proportional to 11,835.40, 17,738.02 and 6,291.40 is: 9,429.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,835.40 : 17,738.02 = 6,291.40 : x
  2. Step 2: Convert to fraction form
    11,835.40/17,738.02 = 6,291.40/x
  3. Step 3: Cross multiply
    11,835.40x = 17,738.02 × 6,291.40
  4. Step 4: Simplify right side
    11,835.40x = 111,596,979.03
  5. Step 5: Solve for x
    x = 111,596,979.03/11,835.40
  6. Step 6: Final answer
    x = 9,429.08

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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.