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Finding the Fourth Proportional to 5,103.64, 7,656 and 1,817.04

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Solution

The fourth proportional to 5,103.64, 7,656 and 1,817.04 is: 2,725.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.64 : 7,656 = 1,817.04 : x
  2. Step 2: Convert to fraction form
    5,103.64/7,656 = 1,817.04/x
  3. Step 3: Cross multiply
    5,103.64x = 7,656 × 1,817.04
  4. Step 4: Simplify right side
    5,103.64x = 13,911,258.24
  5. Step 5: Solve for x
    x = 13,911,258.24/5,103.64
  6. Step 6: Final answer
    x = 2,725.75

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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.