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Finding the Fourth Proportional to 11,475.47, 15,829.47 and 7,219.79

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Solution

The fourth proportional to 11,475.47, 15,829.47 and 7,219.79 is: 9,959.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475.47 : 15,829.47 = 7,219.79 : x
  2. Step 2: Convert to fraction form
    11,475.47/15,829.47 = 7,219.79/x
  3. Step 3: Cross multiply
    11,475.47x = 15,829.47 × 7,219.79
  4. Step 4: Simplify right side
    11,475.47x = 114,285,449.21
  5. Step 5: Solve for x
    x = 114,285,449.21/11,475.47
  6. Step 6: Final answer
    x = 9,959.11

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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.