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Finding the Fourth Proportional to 11,921.40, 17,866.80 and 6,656.40

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Solution

The fourth proportional to 11,921.40, 17,866.80 and 6,656.40 is: 9,976.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,921.40 : 17,866.80 = 6,656.40 : x
  2. Step 2: Convert to fraction form
    11,921.40/17,866.80 = 6,656.40/x
  3. Step 3: Cross multiply
    11,921.40x = 17,866.80 × 6,656.40
  4. Step 4: Simplify right side
    11,921.40x = 118,928,567.52
  5. Step 5: Solve for x
    x = 118,928,567.52/11,921.40
  6. Step 6: Final answer
    x = 9,976.06

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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.