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Finding the Fourth Proportional to 11,645, 16,070.58 and 6,677

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Solution

The fourth proportional to 11,645, 16,070.58 and 6,677 is: 9,214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645 : 16,070.58 = 6,677 : x
  2. Step 2: Convert to fraction form
    11,645/16,070.58 = 6,677/x
  3. Step 3: Cross multiply
    11,645x = 16,070.58 × 6,677
  4. Step 4: Simplify right side
    11,645x = 107,303,262.66
  5. Step 5: Solve for x
    x = 107,303,262.66/11,645
  6. Step 6: Final answer
    x = 9,214.54

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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.