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Finding the Fourth Proportional to 5,308.14, 7,959.78 and 1,610.76

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Solution

The fourth proportional to 5,308.14, 7,959.78 and 1,610.76 is: 2,415.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.14 : 7,959.78 = 1,610.76 : x
  2. Step 2: Convert to fraction form
    5,308.14/7,959.78 = 1,610.76/x
  3. Step 3: Cross multiply
    5,308.14x = 7,959.78 × 1,610.76
  4. Step 4: Simplify right side
    5,308.14x = 12,821,295.23
  5. Step 5: Solve for x
    x = 12,821,295.23/5,308.14
  6. Step 6: Final answer
    x = 2,415.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.