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Finding the Fourth Proportional to 7,815, 10,782.56 and 4,456.59

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Solution

The fourth proportional to 7,815, 10,782.56 and 4,456.59 is: 6,148.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815 : 10,782.56 = 4,456.59 : x
  2. Step 2: Convert to fraction form
    7,815/10,782.56 = 4,456.59/x
  3. Step 3: Cross multiply
    7,815x = 10,782.56 × 4,456.59
  4. Step 4: Simplify right side
    7,815x = 48,053,449.07
  5. Step 5: Solve for x
    x = 48,053,449.07/7,815
  6. Step 6: Final answer
    x = 6,148.87

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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.