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Finding the Fourth Proportional to 6,476, 8,936.88 and 3,532

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Solution

The fourth proportional to 6,476, 8,936.88 and 3,532 is: 4,874.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476 : 8,936.88 = 3,532 : x
  2. Step 2: Convert to fraction form
    6,476/8,936.88 = 3,532/x
  3. Step 3: Cross multiply
    6,476x = 8,936.88 × 3,532
  4. Step 4: Simplify right side
    6,476x = 31,565,060.16
  5. Step 5: Solve for x
    x = 31,565,060.16/6,476
  6. Step 6: Final answer
    x = 4,874.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.