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Finding the Fourth Proportional to 11,471.84, 15,835.96 and 9,712.56

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Solution

The fourth proportional to 11,471.84, 15,835.96 and 9,712.56 is: 13,407.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.84 : 15,835.96 = 9,712.56 : x
  2. Step 2: Convert to fraction form
    11,471.84/15,835.96 = 9,712.56/x
  3. Step 3: Cross multiply
    11,471.84x = 15,835.96 × 9,712.56
  4. Step 4: Simplify right side
    11,471.84x = 153,807,711.66
  5. Step 5: Solve for x
    x = 153,807,711.66/11,471.84
  6. Step 6: Final answer
    x = 13,407.41

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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.