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Finding the Fourth Proportional to 10,884, 15,014.86 and 6,404.92

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Solution

The fourth proportional to 10,884, 15,014.86 and 6,404.92 is: 8,835.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884 : 15,014.86 = 6,404.92 : x
  2. Step 2: Convert to fraction form
    10,884/15,014.86 = 6,404.92/x
  3. Step 3: Cross multiply
    10,884x = 15,014.86 × 6,404.92
  4. Step 4: Simplify right side
    10,884x = 96,168,977.11
  5. Step 5: Solve for x
    x = 96,168,977.11/10,884
  6. Step 6: Final answer
    x = 8,835.81

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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.