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Finding the Fourth Proportional to 7,724, 10,660.56 and 4,412

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Solution

The fourth proportional to 7,724, 10,660.56 and 4,412 is: 6,089.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724 : 10,660.56 = 4,412 : x
  2. Step 2: Convert to fraction form
    7,724/10,660.56 = 4,412/x
  3. Step 3: Cross multiply
    7,724x = 10,660.56 × 4,412
  4. Step 4: Simplify right side
    7,724x = 47,034,390.72
  5. Step 5: Solve for x
    x = 47,034,390.72/7,724
  6. Step 6: Final answer
    x = 6,089.38

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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.