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Finding the Fourth Proportional to 8,451.81, 11,664.50 and 4,915.01

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Solution

The fourth proportional to 8,451.81, 11,664.50 and 4,915.01 is: 6,783.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,451.81 : 11,664.50 = 4,915.01 : x
  2. Step 2: Convert to fraction form
    8,451.81/11,664.50 = 4,915.01/x
  3. Step 3: Cross multiply
    8,451.81x = 11,664.50 × 4,915.01
  4. Step 4: Simplify right side
    8,451.81x = 57,331,051.25
  5. Step 5: Solve for x
    x = 57,331,051.25/8,451.81
  6. Step 6: Final answer
    x = 6,783.29

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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.