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Finding the Fourth Proportional to 11,855.04, 17,784.59 and 5,281.08

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Solution

The fourth proportional to 11,855.04, 17,784.59 and 5,281.08 is: 7,922.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.04 : 17,784.59 = 5,281.08 : x
  2. Step 2: Convert to fraction form
    11,855.04/17,784.59 = 5,281.08/x
  3. Step 3: Cross multiply
    11,855.04x = 17,784.59 × 5,281.08
  4. Step 4: Simplify right side
    11,855.04x = 93,921,816.15
  5. Step 5: Solve for x
    x = 93,921,816.15/11,855.04
  6. Step 6: Final answer
    x = 7,922.52

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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.