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Finding the Fourth Proportional to 10,255, 14,151 and 5,779.12

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Solution

The fourth proportional to 10,255, 14,151 and 5,779.12 is: 7,974.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,255 : 14,151 = 5,779.12 : x
  2. Step 2: Convert to fraction form
    10,255/14,151 = 5,779.12/x
  3. Step 3: Cross multiply
    10,255x = 14,151 × 5,779.12
  4. Step 4: Simplify right side
    10,255x = 81,780,327.12
  5. Step 5: Solve for x
    x = 81,780,327.12/10,255
  6. Step 6: Final answer
    x = 7,974.68

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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.