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Finding the Fourth Proportional to 5,308.76, 7,963.16 and 1,611.03

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Solution

The fourth proportional to 5,308.76, 7,963.16 and 1,611.03 is: 2,416.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.76 : 7,963.16 = 1,611.03 : x
  2. Step 2: Convert to fraction form
    5,308.76/7,963.16 = 1,611.03/x
  3. Step 3: Cross multiply
    5,308.76x = 7,963.16 × 1,611.03
  4. Step 4: Simplify right side
    5,308.76x = 12,828,881.60
  5. Step 5: Solve for x
    x = 12,828,881.60/5,308.76
  6. Step 6: Final answer
    x = 2,416.55

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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.