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Finding the Fourth Proportional to 10,709.78, 14,779.26 and 5,929.45

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Solution

The fourth proportional to 10,709.78, 14,779.26 and 5,929.45 is: 8,182.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.78 : 14,779.26 = 5,929.45 : x
  2. Step 2: Convert to fraction form
    10,709.78/14,779.26 = 5,929.45/x
  3. Step 3: Cross multiply
    10,709.78x = 14,779.26 × 5,929.45
  4. Step 4: Simplify right side
    10,709.78x = 87,632,883.21
  5. Step 5: Solve for x
    x = 87,632,883.21/10,709.78
  6. Step 6: Final answer
    x = 8,182.51

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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.