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Finding the Fourth Proportional to 11,641, 16,062.96 and 7,165.48

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Solution

The fourth proportional to 11,641, 16,062.96 and 7,165.48 is: 9,887.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641 : 16,062.96 = 7,165.48 : x
  2. Step 2: Convert to fraction form
    11,641/16,062.96 = 7,165.48/x
  3. Step 3: Cross multiply
    11,641x = 16,062.96 × 7,165.48
  4. Step 4: Simplify right side
    11,641x = 115,098,818.62
  5. Step 5: Solve for x
    x = 115,098,818.62/11,641
  6. Step 6: Final answer
    x = 9,887.37

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1.5x scale

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.