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Finding the Fourth Proportional to 11,451.88, 15,804.55 and 6,416

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Solution

The fourth proportional to 11,451.88, 15,804.55 and 6,416 is: 8,854.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,451.88 : 15,804.55 = 6,416 : x
  2. Step 2: Convert to fraction form
    11,451.88/15,804.55 = 6,416/x
  3. Step 3: Cross multiply
    11,451.88x = 15,804.55 × 6,416
  4. Step 4: Simplify right side
    11,451.88x = 101,401,992.80
  5. Step 5: Solve for x
    x = 101,401,992.80/11,451.88
  6. Step 6: Final answer
    x = 8,854.62

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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.