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Finding the Fourth Proportional to 12,084.90, 16,677.20 and 6,779.72

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Solution

The fourth proportional to 12,084.90, 16,677.20 and 6,779.72 is: 9,356.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084.90 : 16,677.20 = 6,779.72 : x
  2. Step 2: Convert to fraction form
    12,084.90/16,677.20 = 6,779.72/x
  3. Step 3: Cross multiply
    12,084.90x = 16,677.20 × 6,779.72
  4. Step 4: Simplify right side
    12,084.90x = 113,066,746.38
  5. Step 5: Solve for x
    x = 113,066,746.38/12,084.90
  6. Step 6: Final answer
    x = 9,356.03

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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.