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Finding the Fourth Proportional to 11,826.90, 16,322.40 and 7,047.90

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Solution

The fourth proportional to 11,826.90, 16,322.40 and 7,047.90 is: 9,726.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,826.90 : 16,322.40 = 7,047.90 : x
  2. Step 2: Convert to fraction form
    11,826.90/16,322.40 = 7,047.90/x
  3. Step 3: Cross multiply
    11,826.90x = 16,322.40 × 7,047.90
  4. Step 4: Simplify right side
    11,826.90x = 115,038,642.96
  5. Step 5: Solve for x
    x = 115,038,642.96/11,826.90
  6. Step 6: Final answer
    x = 9,726.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.