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Finding the Fourth Proportional to 8,834, 13,239.64 and 6,746.32

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Solution

The fourth proportional to 8,834, 13,239.64 and 6,746.32 is: 10,110.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,834 : 13,239.64 = 6,746.32 : x
  2. Step 2: Convert to fraction form
    8,834/13,239.64 = 6,746.32/x
  3. Step 3: Cross multiply
    8,834x = 13,239.64 × 6,746.32
  4. Step 4: Simplify right side
    8,834x = 89,318,848.12
  5. Step 5: Solve for x
    x = 89,318,848.12/8,834
  6. Step 6: Final answer
    x = 10,110.80

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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.