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Finding the Fourth Proportional to 8,914, 12,302.04 and 5,188.72

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Solution

The fourth proportional to 8,914, 12,302.04 and 5,188.72 is: 7,160.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,914 : 12,302.04 = 5,188.72 : x
  2. Step 2: Convert to fraction form
    8,914/12,302.04 = 5,188.72/x
  3. Step 3: Cross multiply
    8,914x = 12,302.04 × 5,188.72
  4. Step 4: Simplify right side
    8,914x = 63,831,840.99
  5. Step 5: Solve for x
    x = 63,831,840.99/8,914
  6. Step 6: Final answer
    x = 7,160.85

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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.