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Finding the Fourth Proportional to 47,779.38, 65,937.78 and 26,559

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Solution

The fourth proportional to 47,779.38, 65,937.78 and 26,559 is: 36,652.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,779.38 : 65,937.78 = 26,559 : x
  2. Step 2: Convert to fraction form
    47,779.38/65,937.78 = 26,559/x
  3. Step 3: Cross multiply
    47,779.38x = 65,937.78 × 26,559
  4. Step 4: Simplify right side
    47,779.38x = 1,751,241,499.02
  5. Step 5: Solve for x
    x = 1,751,241,499.02/47,779.38
  6. Step 6: Final answer
    x = 36,652.66

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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.