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Finding the Fourth Proportional to 10,255.74, 14,152.74 and 5,779.88

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Solution

The fourth proportional to 10,255.74, 14,152.74 and 5,779.88 is: 7,976.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,255.74 : 14,152.74 = 5,779.88 : x
  2. Step 2: Convert to fraction form
    10,255.74/14,152.74 = 5,779.88/x
  3. Step 3: Cross multiply
    10,255.74x = 14,152.74 × 5,779.88
  4. Step 4: Simplify right side
    10,255.74x = 81,801,138.87
  5. Step 5: Solve for x
    x = 81,801,138.87/10,255.74
  6. Step 6: Final answer
    x = 7,976.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.