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Finding the Fourth Proportional to 34,779.78, 47,978.33 and 22,011.39

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Solution

The fourth proportional to 34,779.78, 47,978.33 and 22,011.39 is: 30,364.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,779.78 : 47,978.33 = 22,011.39 : x
  2. Step 2: Convert to fraction form
    34,779.78/47,978.33 = 22,011.39/x
  3. Step 3: Cross multiply
    34,779.78x = 47,978.33 × 22,011.39
  4. Step 4: Simplify right side
    34,779.78x = 1,056,069,623.12
  5. Step 5: Solve for x
    x = 1,056,069,623.12/34,779.78
  6. Step 6: Final answer
    x = 30,364.47

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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.