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Finding the Fourth Proportional to 5,308.40, 7,963.14 and 1,610.48

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Solution

The fourth proportional to 5,308.40, 7,963.14 and 1,610.48 is: 2,415.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.40 : 7,963.14 = 1,610.48 : x
  2. Step 2: Convert to fraction form
    5,308.40/7,963.14 = 1,610.48/x
  3. Step 3: Cross multiply
    5,308.40x = 7,963.14 × 1,610.48
  4. Step 4: Simplify right side
    5,308.40x = 12,824,477.71
  5. Step 5: Solve for x
    x = 12,824,477.71/5,308.40
  6. Step 6: Final answer
    x = 2,415.88

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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.