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Finding the Fourth Proportional to 8,656.84, 12,988.28 and 2,734.64

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Solution

The fourth proportional to 8,656.84, 12,988.28 and 2,734.64 is: 4,102.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,656.84 : 12,988.28 = 2,734.64 : x
  2. Step 2: Convert to fraction form
    8,656.84/12,988.28 = 2,734.64/x
  3. Step 3: Cross multiply
    8,656.84x = 12,988.28 × 2,734.64
  4. Step 4: Simplify right side
    8,656.84x = 35,518,270.02
  5. Step 5: Solve for x
    x = 35,518,270.02/8,656.84
  6. Step 6: Final answer
    x = 4,102.91

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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.