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Finding the Fourth Proportional to 11,471.64, 15,837.96 and 7,648.66

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Solution

The fourth proportional to 11,471.64, 15,837.96 and 7,648.66 is: 10,559.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.64 : 15,837.96 = 7,648.66 : x
  2. Step 2: Convert to fraction form
    11,471.64/15,837.96 = 7,648.66/x
  3. Step 3: Cross multiply
    11,471.64x = 15,837.96 × 7,648.66
  4. Step 4: Simplify right side
    11,471.64x = 121,139,165.07
  5. Step 5: Solve for x
    x = 121,139,165.07/11,471.64
  6. Step 6: Final answer
    x = 10,559.88

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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.