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Finding the Fourth Proportional to 8,517, 11,753.46 and 4,978.92

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Solution

The fourth proportional to 8,517, 11,753.46 and 4,978.92 is: 6,870.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517 : 11,753.46 = 4,978.92 : x
  2. Step 2: Convert to fraction form
    8,517/11,753.46 = 4,978.92/x
  3. Step 3: Cross multiply
    8,517x = 11,753.46 × 4,978.92
  4. Step 4: Simplify right side
    8,517x = 58,519,537.06
  5. Step 5: Solve for x
    x = 58,519,537.06/8,517
  6. Step 6: Final answer
    x = 6,870.91

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1.5x scale

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.