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Finding the Fourth Proportional to 11,474.47, 15,828.06 and 7,218.82

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Solution

The fourth proportional to 11,474.47, 15,828.06 and 7,218.82 is: 9,957.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.47 : 15,828.06 = 7,218.82 : x
  2. Step 2: Convert to fraction form
    11,474.47/15,828.06 = 7,218.82/x
  3. Step 3: Cross multiply
    11,474.47x = 15,828.06 × 7,218.82
  4. Step 4: Simplify right side
    11,474.47x = 114,259,916.09
  5. Step 5: Solve for x
    x = 114,259,916.09/11,474.47
  6. Step 6: Final answer
    x = 9,957.75

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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.